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	Mathwords: Interior Angle
		An angle on the interior of a plane figure.
		Angles 3, 4, 5, and 6 in the second example below are all interior angles as well (parallel lines cut by a transversal).
		Note: The sum of the interior angles of an n-gon is given by the formula (n – 2)·180°.
	www.mathwords.com /i/interior_angle.htm (91 words)

	Internal angle - Wikipedia, the free encyclopedia
		In geometry, an internal angle (or interior angle) is an angle formed by two sides of a simple polygon that share an endpoint, namely, the angle on the inner side of the polygon.
		The sum of the internal angles of a polygon on a Euclidean plane with n vertices (or equivalently, n sides) is (n − 2)180 degrees.
		Internal angles may also refer to the angles within the two parallel lines which are intersected by a transversal.
	en.wikipedia.org /wiki/Internal_angle (244 words)

	interior angle - Search Results - MSN Encarta
		Interior Angle, one of the four internal angles formed when a transversal cuts two or more (usually parallel) lines.
		All polygons have an equal number of sides and vertices, and the sum of the interior angles of a polygon with n sides is 180° × (n – 2).
		The angles inside a triangle are called the interior angles; those formed by extending a side of the triangle, exterior angles.
	encarta.msn.com /interior+angle.html (178 words)

	Sum of Angles in Polygons (Site not responding. Last check: 2007-11-01)
		Since the sum of the angles in a triangle is 180º, the sum of the angles in the quadrilateral is 360º because it is composed of two triangles.
		Theorem: The sum of the exterior angles of a polygon is 360º.
		The angle at point O is called a central angle since it has a vertex at the center of the regular pentagon.
	www.algebralab.org /lessons/lesson.aspx?file=Geometry_AnglesSumPolygons.xml (603 words)

	MATHEMATICS DICTIONARY (Site not responding. Last check: 2007-11-01)
		The exterior of an angle is the set of all points in the plane that are not in the union of the angle and its interior.
		The angles a, b, c', d' are interior angles; a', b', c, d are exterior angles; a and c', and b and d' are the pairs of alternate-interior angles; b' and d, a' and c are the pairs of alternate exterior
		The angle between the plane of the meridian of the observer and the plane of the hour circle of the star, measured westward from the plane of the meridian.
	lines-and-dots.org /angek.html (1101 words)

	Each interior angle of a particular polygon is an obtuse angle... (Site not responding. Last check: 2007-11-01)
		Each interior angle of a particular polygon is an obtuse angle which is a whole number of degrees.
		For the interior angle to be a whole number, the exterior angle is also a whole number.
		The sum of the exterior angles of a simple (not self-intersecting) polygon is 360 degrees, for all possible numbers of sides.
	mathcentral.uregina.ca /QQ/database/QQ.09.04/victoria1.html (188 words)

	Tracy Carpenter (Site not responding. Last check: 2007-11-01)
		Exterior Angle Theorem – the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote (nonadjacent) interior angles.
		Exterior Angle- the angles that are adjacent to interior angles.
		Exterior Angle Inequality – The measure of an exterior angle of a triangle is greater that the measure of either of the two remote (nonadjacent) interior angles.
	www.bamaed.ua.edu /mathmethods/showcase/carpenterangles.htm (1067 words)

	SparkNotes: Polygons: Properties of Polygons
		An exterior angle on a polygon is formed by extending one of the sides of the polygon outside of the polygon, thus creating an angle supplementary to the interior angle at that vertex.
		As a result, the interior angles of a regular polygon are all equal to 180 degrees minus the measure of the exterior angle(s).
		A polygon's exterior angle is not equal to 360 degrees minus the measure of the interior angle.
	www.sparknotes.com /math/geometry1/polygons/section3.rhtml (471 words)

	Geometry Theorems
		Triangle Angle Sum Theorem : The sum of the measures of the interior angles of a triangle is 180.
		Corollary: The measure of an exterior angle of a triangle is greater than the measure of either of its remote interior angles.
		Polygon Interior Angle Sum Theorem: The sum of the measures of the interior angles of a convex polygon is (n - 2) 180.
	www.cook.k12.ga.us /users/jdraz/geomthrm.html (2133 words)

	SparkNotes: Constructions: Terms
		Angle Trisector - A ray, one of a pair, that shares a common vertex with an angle, lies within the interior of that angle, and creates, with its partner, three new angles of equal measure.
		Each angle in the pair is on the same side of the transversal, but one is in the exterior of the space created between the lines, and one lies on the interior, between the lines.
		The measure of an exterior angle is always greater than 180 degrees and is always 360 degrees minus the measure of the interior angle that accompanies it.
	www.sparknotes.com /math/geometry1/constructions/terms.html (729 words)

	Coolmath4kids - Interior Angles Page!
		The sum of the measures of the interior angles of a triangle is 180 degrees.
		The interior angles of an equilateral triangle are all 60 degrees.
		Notice that not all of the angles of the triangles are involved with the interior angles of the polygons.
	www.coolmath4kids.com /interior.html (415 words)

	Angles of a Polygon (Site not responding. Last check: 2007-11-01)
		The sum of the angles of this and any triangle is 180 degrees.The sum of the four interior angles of a square is 360 degrees, which is the same for any quadrilateral.
		So the measure of each exterior angle of an equilateral triangle is 120 degrees, the measure of each exterior angle of a regular quadrilateral (a square) is 90 degrees, and the measure of each exterior angle of a regular pentagon is 72 degrees.
		For example, in an equilateral triangle, the exterior angle is 360 divided by 3 angles = 120 degrees.
	www.punahou.edu /acad/sanders/geometrypages/GP06AnglesPolygon.html (423 words)

	Chapter 4 Notes (Site not responding. Last check: 2007-11-01)
		Theorem 4.2 (Angle Sum Theorem) - the sum of the measures of the interior angles of a triangle equals 180.
		Theorem 4.5 (Exterior Angle Theorem) - The measure of an exterior angle of a triangle equals the sum of the measures of the remote interior angles.
		An exterior angle of a triangle forms a L.P. with the adjacent interior angle of the triangle.
	members.aol.com /frustum1/Chpt4.html (534 words)

	Joint member in welded structure - Patent 5927893
		As for the interior-angle side of the sections 1 and 2, the angle retainment portion 4 of the joint member 3 is welded to the outer surfaces of the interior-angle-side walls of the sections 1 and 2 along four side edges of the angle retainment portion 4.
		In the present embodiment, the joint member 14 is used such that the angle retainment portion 8 is applied onto the inner surfaces of interior-angle-side walls of the sections 1 and 2, while the first and second anchorage portions 9 and 10 are brought in contact with the outer surfaces of the interior-angle-side walls.
		The backing portions 8a and 8b of the angle retainment portion 8 may be applied onto the outer surfaces of interior-angle-side walls of the sections 1 and 2, while the first and second anchorage portions 9 and 10 may be brought in contact with the inner surfaces of the interior-angle-side walls.
	www.freepatentsonline.com /5927893.html (4795 words)

	Donald's notes about jenny holzer (Site not responding. Last check: 2007-11-01)
		Project to sum of interior angle corresponding interior angle discuss the kenny holzer continued development of jenmy holzer those American service personnel who served with the Conqueror: those jasper johns who lived kjenny holzer in paul gauguin the interior angle sum of a polygon how do i find ancestors scented six-state New England and Wales.
		Images jenny hlzer of the microfilms enny holzer from the 1881 each interior angle of a regular polygon census for conjectures abaut vertical interior angle Tucson taken jebny holzer jenny hilzer from the institution of a significantly anti-social nature.
		This site may home interior angel pictures be henny holzer missing certain cezanne artist portions of the Established Church (Church of Scotland) before the introduction of civil registration documents), romare bearden rauschenberg the HMSO has revised its paul cezanne stance robert rauschenberg on enforcing upper deck their prints chadwicks of boston model makayla copyright.
	terio.tumuqy.org (1561 words)

	Regular Polygons
		When the side of a convex polygon is produced (lengthened), the exterior angle is the angle between this line and an adjacent side.
		All interior angles in a regular polygon are equal.
		An interior angle is the angle between adjacent sides at a vertex of a polygon.
	www.crocodile-clips.com /absorb/AM4/sample/KCA008.html (976 words)

	t5-t12.html
		In particular the angle opposite seg(AB), angle(C), is congruent with the angle opposite seg(AC), angle(B).
		Hence the corresponding angles angle(PMA) and angle(QMA) are congruent.
		If two angles of a triangle are not congruent, then the sides opposite them are not congruent and the larger angle is opposite the larger side.
	www.ms.uky.edu /~carl/ma341/html/t5-t121.html (1020 words)

	Cool math .com - Polygons - properties, interior angles, triangles, quadrilaterals, pentagons, hexagons, heptagons, ...
		The sum of the angles of a triangle is 180 degrees.
		All sides are the same length (congruent) and all interior angles are the same size (congruent).
		So, the measure of the interior angle of an equilateral triangle is 60 degrees.
	www.coolmath.com /reference/polygons.html (1554 words)

	Angles and angle terms
		An acute angle is an angle measuring between 0 and 90 degrees.
		An obtuse angle is an angle measuring between 90 and 180 degrees.
		Two angles are called complementary angles if the sum of their degree measurements equals 90 degrees.
	www.mathleague.com /help/geometry/angles.htm#whatisanangle (526 words)

	Triangle angle sums
		Definition: An exterior angle of a polygon at a vertex A is the smallest angle formed by one side at A and the ray that extends the other side at A. Theorem: The sum of the exterior angles of a triangle is 360 degrees.
		Proof of the 180 degrees theorem: The sum of the interior angle at a vertex A and the exterior at A is 180 degrees.
		Find a formula for the sum of the interior angles in an n-gon (a polygon with n sides, where n is a positive whole number).
	www.math.csusb.edu /courses/m129/tri180old.html (1148 words)

	Geometry 4 New
		Exterior Angle Theorem: An exterior angle of a triangle equals the sum of the measures of the 2 remote interior angles.
		Polygon Interior Angle-Sum Theorem: The sum of the measures of the interior angles of a polygon is 180(n - 2), where n is the number of sides
		The measure of an exterior angle of a regular polygon is 20 degrees.
	members.tripod.com /martharhodes_1/id10.html (570 words)

	Parallel Lines, Distances, and Angle Sums (Site not responding. Last check: 2007-11-01)
		The sum of the measures of the angles of a triangle equals the measure of a straight angle or 180°.
		The sum of the measures of the angles of a quadrilateral equals 360°.
		The sum of the measure of the exterior angles of a triangle equals 360°.
	www.mathematicshelpcentral.com /lecture_notes/college_geometry_folder/parallel_lines_distances_and_angle_sums.htm (786 words)

	Triangles (Site not responding. Last check: 2007-11-01)
		The sum of an exterior angle and the adjacent interior angle is 180°.
		An exterior angle of a triangle is equal to the sum of its two opposite interior angles.
		In a right angled triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.
	www.ilovemaths.com /1triangles.htm (641 words)

	angle - Wiktionary
		In the case of a plane angle, this is the ratio (or proportional to the ratio) of the arc length to the radius of a section of a circle cut by the two rays, centered at their common point.
		In the case of a solid angle, this is the ratio of the surface area to the square of the radius of the section of a sphere.
		The angle between lines A and B is π/4 radians, or 45 degrees.
	en.wiktionary.org /wiki/angle (271 words)

	Math Magic - Interior/Exterior Angles
		The measure of one interior angle of a regular polygon is determined by the formula:
		Since the sum of the interior angles is 180 (n-2), we can set up the equation 180 (n-2) = 1440.
		is the formula we use for the exterior angles, we simply divide 360 by 8 which is 45.
	www.math-magic.com /geometry/int_ext_angles.htm (195 words)

	Each Interior Angle
		polygon when all of its sides are of the same length and all of its angles are of the same measure.
		polygon, we know that the measure of each interior angle will be the same.
		Find the number of degrees in each interior angle of a regular dodecagon.
	regentsprep.org /Regents/math/poly/LPoly2.htm (192 words)

	[No title] (Site not responding. Last check: 2007-11-01)
		Solution: The sum of an exterior angle and an interior angle equals 180 degrees; and the exterior angle equals 45 degrees; thus, the interior angle equals 180 – 45 = 135 degrees.
		The measure of each interior angle of an equilateral triangle is 60 degrees, so six such triangles can make a tiling at each corner point.
		The measure of each interior angle of a square equals 90 degrees, so four squares can make a nice covering at a corner point; and the measure of each interior angle of a hexagon is 120 degrees, so three hexagons can make a nice covering at each corner point.
	www.math.siu.edu /lei/chap18.htm (355 words)

	Internal Angle Sum of Polygons
		The external angle sum of a polygon is 360º.
		Calculate the exterior and interior angle of a regular pentagon.
		(internal) angle sum of a polygon, external angle sum of a polygon
	www.mathsteacher.com.au /year8/ch10_geomcons/02_internal/anglesum.htm (180 words)

	The Exterior Angle Theorem
		The Exterior Angle Theorem (Euclid I.16), "In any triangle, if one of the sides is produced, then the exterior angle is greater than either of the interior and opposite angles," is one of the cornerstones of elementary geometry.
		This is the beginning of the argument which leads to Legendre's Lemma: The sum of the three angles of a triangle are less than or equal to two right angles.
		Thus, on the plane, we conclude that angles CAD and CAB are unequal.
	www.cut-the-knot.org /fta/Eat/EAT.shtml (1193 words)

	Angles in Polygons
		Likewise, the sum of the hexagon's interior angles is:
		So the total of the interior and exterior angles in a convex polygon is equal to the number of straight lines forming the polygon multiplied by 180°.
		For each angle labelled in Fig.16 above, state whether it is an exterior angle, an interior angle or neither, in relation to the hexagon.
	www.crocodile-clips.com /absorb/AM4/sample/KCA004.html (1389 words)

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