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	PlanetMath: angle
		Therefore, the sum of a pair of supplementary angles is not defined!
		It is also possible to define the multiplication of a free angle by a positive integer, provided that the resulting angle is a well-defined free angle.
		This is version 13 of angle, born on 2005-10-18, modified 2005-10-28.
	planetmath.org /encyclopedia/RightAngle2.html (558 words)

	Complementary Angles definition - Math Open Reference
		Similar in concept are supplementary angles, which add up to 180°.
		A right angle is 90 degrees and, yes, 'compliment' and 'complement' are not the same word, but it's a way to remember which is which.
		angle definition, degrees, angle bisector, adjacent angles, complementary angles, supplementary angles, corresponding angles, alternate interior angles, alternate exterior angles, interior angles of a transversal, exterior angles of a transversal, included angle, linear pair, vertical angles, subtended angle,
	www.mathopenref.com /anglecomplementary.html (245 words)

	Angles (Site not responding. Last check: 2007-10-19)
		The angle aba is the trivial angle, one ray, and measures 0°.
		An angle that is a straight line, two rays pointed in opposite directions, measures 180°, and is called the straight angle.
		An angle bisector is a ray that cuts the angle in half.
	www.mathreference.com /geo,angle.html (356 words)

	Geometry Theorems
		Triangle Angle Sum Theorem : The sum of the measures of the interior angles of a triangle is 180.
		Polygon Interior Angle Sum Theorem: The sum of the measures of the interior angles of a convex polygon is (n - 2) 180.
		Angle Bisector Theorem : A point on the bisector of an angle is equidistant from the sides of th angle.
	www.cook.k12.ga.us /users/jdraz/geomthrm.html (2450 words)

	Lessons
		An acute angle is an angle measuring between 0 and 90 degrees.
		An obtuse angle is an angle measuring between 90 and 180 degrees.
		The sum of the measures of the interior angles of a triangle is 180 degrees.
	www.tburg.k12.ny.us /richards/Lessons.htm (639 words)

	Basic Mathematics - Geometry
		Angles 1 and 2 as well as angles 2 and 4 are supplementary angles.
		Angles 4 and 5 are alternate interior angles and are congruent.
		Angles 2 and 7 are alternate exterior angles and are congruent.
	astronomyonline.org /Science/Geometry.asp (472 words)

	Angles and Lines
		Angles separate their plane into three regions: the angle; the region inside or interior to the angle; and the region outside or exterior to the angle.
		The angle between two sides of a polygon is an interior angle, whereas the angle formed by one side and extending the other side of an angle in a polygon is an exterior angle.
		Angles inside circles are either central angles if their vertex is the center of the circle, or inscribed angles if their vertex is on the circle.
	www.andrews.edu /~calkins/math/webtexts/geom03.htm (2908 words)

	Classifying Angles
		angle, complementary, supplementary, acute, adjacent, circumference, obtuse, quadrilateral, vertex
		Recognize angles as being more than 90 degrees(obtuse), equal to 90 degrees(right), less than 90 degrees(acute), equal to 180 degrees(straight), greater than 180 degrees(reflex).
		The lower scale is the appropriate one to use for angles generated in this flash object.
	argyll.epsb.ca /jreed/math7/strand3/3201.htm (138 words)

	All Elementary Mathematics - Study Guide - Geometry - Angles...
		Angle is a geometric figure (Fig.1), formed by two rays OA and OB (sides of an angle), going out of the same point O (a vertex of an angle).
		An angle of 90 deg (Fig.2) is called a right or direct angle; an angle lesser than 90 deg (Fig.3), is called an acute angle; an angle greater than 90 deg (Fig.4), is called an obtuse angle.
		sum of supplementary (adjacent) angles is equal to 180 deg.
	www.bymath.com /studyguide/geo/sec/geo3.htm (406 words)

	Complementary, Supplementary, and Vertical Angles (Site not responding. Last check: 2007-10-19)
		Introduction: Some angles can be classified according to their positions or measurements in relation to other angles.
		Supplementary angles are two angles with a sum of 180º.
		This is obvious since angle C is 90º and the other two angles must have a sum of 90º so that the three angles in the triangle together have a sum of 180º.
	www.algebralab.org /lessons/lesson.aspx?file=Geometry_AnglesComplementarySupplementaryVertical.xml (411 words)

	SparkNotes: Constructions: Angle Pairs
		A pair of angles whose sum is 90 degrees are called complementary angles.
		Likewise, if two angles sum to 180 degrees, they are called supplementary angles.
		These angles, which are formed by rays that point in opposite directions, are called vertical angles.
	www.sparknotes.com /math/geometry1/constructions/section2.rhtml (197 words)

	Geometry Theorem List
		Theorem 86: The measure of an inscribed angle or a tangent-chord angle (vertex on a circle) is one-half the measure of its intercepted arc.
		Theorem 87: The measure of a chord-chord angle is one-half the sum of the measures of the arcs intercepted by the chord-chord angle and its vertical angle.
		Theorem 88: The measure of a secant-secant angle, a secant-tangent angle, or a tangent-tangent angle (vertex outside a circle) is one-half the difference of the measures of the intercepted arcs.
	members.aol.com /Joel604/geolist.html (2681 words)

	Supplementary angles (Site not responding. Last check: 2007-10-19)
		We know that: Supplementary angles are two angles whose sum equals 180 degrees and complementary angles are two angles whose sum equals 90 degrees.
		You have the definitions correct: the angles do not have to share the same vertex; they can be anywhere in the plane.
		If A + B = 180 degrees the pair is called "supplementary", with A the supplement of B and B the supplement of A. For example, if A, B, C, D are four points lying on a circle in the given order, then a theorem of Euclid says that A and C are supplementary angles.
	mathcentral.uregina.ca /QQ/database/QQ.09.99/suzanne1.html (126 words)

	Working with Angles
		From the angles of the door on the right, we know that we are not looking at the door face on, because they are not right angles as we know they should be.
		For example, the angles either side of the base of a ladder are supplementary (assuming that the ground is level).
		Angle a is opposite angle c and angle b is opposite angle d.
	www.crocodile-clips.com /absorb/AM4/sample/KCA003.html (1307 words)

	Building Blocks - Classifying Angles - In Depth (Site not responding. Last check: 2007-10-19)
		The right angle is the most common angle—the edges of your notebook paper, stair steps, door facings, the edges of picture frames—all of these form right angles.
		It is used both to measure angles and to draw angles.
		Supplementary angles do not have to touch, or be in the same plane, or even be in the same room!
	www.math.com /school/subject3/lessons/S3U1L4DP.html (315 words)

	Supplementary Angles - Search Results - MSN Encarta
		Supplementary Angles, two angles that together form one-half of a complete rotation—that is, 180°.
		Angle (geometry), a measure of the rotation of a line segment about a fixed point.
		This rotation is similar to the sweep of a second hand partway...
	encarta.msn.com /Supplementary_Angles.html (135 words)

	Tenth Grade Math
		Two supplementary angles are in the ratio of 1:3, find the measure of the supplementary angle.
		Two supplementary angles are in the ratio of 1:4, find the measure of the supplementary angle.
		Two supplementary angles are in the ratio of 2:4, find the measure of the supplementary angle.
	www.edhelper.com /math/math_tenth_grade_TEN36.htm (321 words)

	Geometry: Parallel Lines - Math for Morons Like Us
		Supplementary angles are any two angles whose sum is 180 degrees.
		Angle 4 = 120 degrees since it is supplementary to angle 1.
		The measure of an exterior angle is equal to the sum of the measure of its remote interior angles.
	library.thinkquest.org /20991/geo/parallel.html (762 words)

	Triangle Geometry (Site not responding. Last check: 2007-10-19)
		In the applet below you are given the measure of an angle.
		When we talk about the sum of two angles A and B we mean a new angle whose measure is the sum of the measures of A and B. When the sum of two angles is 90 ° we call them complementary angles and when the sum is 180° we call them supplementary angles.
		So, for example 60° is the measure of the complementary angle to 30° while 150° is the measure of the supplementary angle to 30°.
	www.utc.edu /~cpmawata/geom/geom1.htm (191 words)

	SparkNotes: Old SAT: Angles and Lines
		Angles are measured in degrees, sometimes denoted by the symbol º.
		For example, since angles 1 and 2 sum to 180º—and since angle 2 and 7 are equal—the sum of angle 1 and 7 also equals 180º.
		If you just know that angle 2 and angle 7 are equal, you will be able to answer the question a lot more quickly than if you have to work out the question by using the rules of supplementary and complementary angles.
	www.sparknotes.com /testprep/books/sat/chapter12section2.rhtml (1039 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-19)
		Supplementary angle: "if the sum of two angles is 180 degrees, or a straight angle, they are called supplementary angles." Is this right?
		Complementary angles are two angles whose sum equals 90 degrees.
		Example: 30 degrees and 60 degrees are complementary (30 + 60 = 90) Supplementary angles are two angles whose sum equals 180 degrees.
	mathforum.org /library/drmath/view/57815.html (146 words)

	angles (Site not responding. Last check: 2007-10-19)
		Exterior angles are angles on the outside of any shape.
		Supplementary angles are 2 angles that are next to each other, and when put together, they equal 180
		Vertical angles are 2 angles connected together at their vertex, with both of the angles sharing the two lines making them.
	www.cobb.k12.ga.us /~smitha/ANGLES.html (394 words)

	Dummies::SAT II Math: Looking at Lines and Angles
		An angle is usually measured in degrees or radians.
		Supplementary angles: Angles whose measurements total 180° are supplementary.
		When two lines intersect, the opposite angles are always congruent or equal, and the adjacent angles are always supplementary.
	www.dummies.com /WileyCDA/DummiesArticle/id-3024.html (1022 words)

	Pairs Of Angles
		Some examples are complementary angles, supplementary angles, vertical angles, alternate interior angles, alternate exterior angles and corresponding angles.
		Therefore, given any one angle you would be able to work out the values of all the other angles.
		One way to remember alternate exterior angles is that they are the vertical angles of the alternate interior angles.
	www.onlinemathlearning.com /pairs-of-angles.html (579 words)

	Angles
		Alternate angles form a 'Z' shape and are sometimes called 'Z angles'.
		Any two angles that add up to 180 degrees are known as supplementary angles.
		The angles in a polygon (a shape with n sides) add up to 180(n - 2) degrees.
	www.gcseguide.co.uk /angles.htm (160 words)

	parallel lines cut by a transversal, corresponding angles, anternate interior angles, alternate exterior angles
		Each angle in the pair is congruent to the other angle in the pair.
		At each of the parallel lines adjacent angles are supplementary.
		The angles have special names identifying their positions with respect to the parallel lines and transversal.
	www.mathnstuff.com /math/spoken/here/2class/260/trans.htm (208 words)

	Angles and Parallel Lines (Site not responding. Last check: 2007-10-19)
		Congruence of Angles Theorem: Congruence of angles is reflexive, symmetric, and transitive.
		Supplementary Angles Theorem: Angles supplementary to the same angle or to congruent angles are congruent.
		Consecutive Interior Angles Theorem 2: If two lines in a plane are cut by a transversal so that a pair of consecutive interior angles is supplementary, then the lines are parallel.
	ccms.wcpss.net /students/projects/APLines (600 words)

	Section2
		An angle is a geometric figure that consists of two rays that share a common endpoint.
		The rotation is measured in degrees therefore the degree measure of an angle is measured in degrees as well.
		The constructed angle will be unique in a sense that if we construct one more angle with the same degree measure and in the same half-plane then this second angle will coincide with the first one.
	www.math.psu.edu /geom/koltsova/section2.html (570 words)

	Investigation Title: Angles
		Invite volunteers to measure the angles on the board, identify them as right, acute obtuse, straight and reflex and the angles that are congruent, and label them.
		Continue by having students use their angle measurer to draw, name, label and measure angles that are less than 90°, are 90°, between 90° and 180°, are 180° and more than 180°.
		Encourage students to estimate sizes by using known angles, and understand that checking an estimate with a protractor is a way of refining estimation skills, it is not a judgment of whether an estimate is correct or incorrect.
	www.saskschools.ca /curr_content/math68/strands/geometry_measurement/angles.html (716 words)

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