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# Topic: Complementary angles

###### In the News (Thu 21 Sep 17)

 Angle - Wikipedia, the free encyclopedia Angles provide a means of expressing the difference in slope between two rays meeting at a vertex without the need to explicitly define the slopes of the two rays. The degree measure of the angle is the length of the arc, divided by the circumference of the circle, and multiplied by 360. The angle between a line and a curve (mixed angle) or between two intersecting curves (curvilinear angle) is defined to be the angle between the tangents at the point of intersection. en.wikipedia.org /wiki/Angle   (1429 words)

 Lecture 1 The hypotenuse is  20  and the smallest angle is  36.87 The hypotenuse is  40  and the smallest angle is  30 The hypotenuse is  50  and the smallest angle is  30 www.lapc.cc.ca.us /faculty/putnamtc/240/Lec1.htm   (1433 words)

 Angle - Wikipedia, the free encyclopedia   (Site not responding. Last check: 2007-10-21) The first concept was used by, who regarded an angle as a deviation from a straight line; the second by, who regarded it as the interval or space between the intersecting lines; Euclid adopted the third concept, although his definitions of right, acute, and obtuse angles are certainly quantitative. Angles smaller than a right angle are called acute angles; angles larger than a right angle are called obtuse angles. The difference between an acute angle and a right angle is termed the complement of the angle, and between an angle and two right angles the supplement of the angle. www.peekskill.us /project/wikipedia/index.php/Angle   (1195 words)

 SparkNotes: Review of Geometry II: Theorem Review The consecutive angles of a parallelogram are supplementary. The measure of an angle whose vertex is on the circle, whose sides are a chord and a tangent segment, is half the measure of the arc it intercepts. The measure of an angle whose sides are contained in distinct secant lines and whose vertex is in the interior of a circle is equal to half the sum of the measures of its intercepted arcs. www.sparknotes.com /math/geometry2/review/theoremlist.html   (1187 words)

 Complementary angles -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-21) A pair of (The space between two lines or planes that intersect; the inclination of one line to another; measured in degrees or radians) angles are complementary if the sum of their measures is 90 (A specific identifiable position in a continuum or series or especially in a process) degrees. If the two complementary angles are adjacent (i.e., have a common vertex and share a side, but do not have any interior points in common) their non-shared sides form a (The 90 degree angle between two perpendicular lines) right angle. The adjective "complementary" comes from the (Any dialect of the language of ancient Rome) Latin complementum, which derives from the fourth form of the Latin verb complere, i.e. www.absoluteastronomy.com /encyclopedia/c/co/complementary_angles.htm   (181 words)

 Glencoe Mathematics - Online Study Tools The angles are supplementary angles because their measures have a sum of 180°. The angles are complementary angles because their measures have a sum of 90°. The angles are complementary angles because their measures have a sum of 180°. www.glencoe.com /sec/math/studytools/cgi-bin/msgQuiz.php4?isbn=0-02-833050-1&chapter=9&lesson=1   (52 words)

 Tracy Carpenter   (Site not responding. Last check: 2007-10-21) 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)

 Trigonometry Applications for Physical Education   (Site not responding. Last check: 2007-10-21) The pair of angle (a and c) are equal to the pair of angles (a and c) of the triangle since they are the interior angles of parallel line cut by a diagonal line. The three angles of a right triangle are A, B, and C. Angle C is a right angle (90 deg) and is always opposite to the hypotenuse. Angle A and B are complementary angles, their sum equals 90 deg. www.iupui.edu /~kinesio/trig-project/page3.htm   (512 words)

 BC Education - Appendix F: Glossary A-E An angle whose measure is between 0° and 90°. Angles or sides that have the same relative position in geometric figures. Angles that are rotations between the same two lines, termed the initial and terminal arms. www.bced.gov.bc.ca /irp/mathk7/appfa_e.htm   (925 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   (516 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). Sketch and draw an angle when the degree sign is specified. argyll.epsb.ca /jreed/math7/strand3/3201.htm   (138 words)

 Triangle Geometry   (Site not responding. Last check: 2007-10-21) 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)

 MSN Encarta - Search Results - complementary Complementary Angles, two angles that together make a right angle. Complementary Number, in number theory, the number obtained by subtracting a number from its base. complementary.Two angles are complementary if the sum of their measures is 90°. encarta.msn.com /complementary.html   (121 words)

 SparkNotes: Constructions: Angle Pairs A pair of angles whose sum is 90 degrees are called complementary angles. A single angle, when considered alone, can be neither supplementary nor complementary--it can only take on one of these properties when considered as one of a pair of 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   (196 words)

 Complementary and Supplementary Angles Two angles of 40 degrees and 50 degrees are complementary angles. The supplementary angle of 156 degrees is 44 degrees. The supplementary angle of 90 degrees is 90 degrees. school.discovery.com /quizzes8/mrforbes/angles.html   (125 words)

 Chapter 4 Two angles are complementary iff they sum to 90 degrees. The sum of the measures of the angles of a triangle is 360 degrees. If two angles of one triangle are equal to two angles of another triangle, then the third pair of angles are equal. www.mccallie.org /myates/chapter_4.htm   (1251 words)

 [No title] Angles An angle is the union of two rays that have the same endpoint. Examples of corresponding angles in the illustration above are: a and f b and f c and g d and h Alternate interior angles are always inside the parallel lines and on opposite sides of the transversal. A degree in measuring angles is a 1/360 of a circle. www.cdlponline.org /gedprint/files/GED35.doc   (4544 words)

 Chapter Two Vertical angles are two angles with sides that are opposite rays. Adjacent angles are two coplanar angles that have a common side and a common vertex but no common interior points. Two angles are complementary angles if the sum of their measures is 90 degrees. pages.cthome.net /jfleary/2gnf4/2gn4c2/2gn4(2-5).htm   (141 words)

 New Page 1 In this case it must be shown that angle B is a right angle. Example: "Since angles A, B and C sum to 180 degrees and angles A and C sum to 90 degrees, angle B must be a 90 degree, or right, angle." The sum of the interior angles of a triangle is 180 degrees www.svsu.edu /~zerger/104Geometry/Proof/math104_proof.htm   (644 words)

 Hamilton - Math To Build On: Complementary Angle A complementary angle is found by subtracting the reference angle from 90° (90° - 37° = 53°). Since the reference and complementary angles are in the same triangle, both angles use the same numbers (length of sides) to derive their functions. The sine of the reference angle is equal to the cosine of the complementary angle, and vice versa. mathforum.org /~sarah/hamilton/ham.complementary.html   (281 words)

 Angles   (Site not responding. Last check: 2007-10-21) 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   (348 words)

 Regents Math Review @NYU - Classification of Angles If two angles are complementary, find the measure of the smaller angle if the measures of the two angles are in the ratio of: a) 2 : 3 b) 3 : 1 The measure of the supplement of an angle is three times as great as the measure of the complement of the same angle. The difference between the measures of an angle and its complement is 14. members.chello.nl /r.kuijt/ClassificationofAngles.htm   (408 words)

 Math Thematics Book 3   (Site not responding. Last check: 2007-10-21) Two angles whose measures have a sum of 90º are complementary angles. Two angles whose measures have a sum of 180º are supplementary angles. In a right triangle, the tangent of an acute angle is the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. www.kent.k12.wa.us /staff/DavidChesley/three5.4.htm   (100 words)

 Math Thematics Book 2 An angle is formed by two rays with a common endpoint called the vertex of the angle. The measure of an angle is the amount of rotation between its two rays. Two angles are complementary angles if the sum of the measures of the angles is 90º. www.kent.k12.wa.us /staff/DavidChesley/two2.1.htm   (140 words)

 Lines, Angles, and Triangles A segment or ray that bisects an angle and extends to the opposite side. Principle 4: Adjacent angles are complementary if their exterior sides are perpendicular to each other. Principle 6: Adjacent angles are supplementary if their exterior sides lie in the same straight line. www.mathematicshelpcentral.com /lecture_notes/college_geometry_folder/lines_angles_and_triangles.htm   (400 words)

 Angle Transparencies Objective:  The students will be able to identify, define, estimate, measure angles (such as acute, right, obtuse, straight, complementary, supplementary, adjacent, vertical, and congruent). Angles that share a common side and a common vertex Closure:  Review the different types of angles by showing a picture of an angle and letting the students identify the angle type. www.angelfire.com /ga3/kfresh2/transparencylesson2.html   (277 words)

 Building Blocks - Classifying Angles - In Depth   (Site not responding. Last check: 2007-10-21) 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. Two angles that have the same measure are called congruent angles. A pair of angles is called complementary if their measurements add up to 90°. www.math.com /school/subject3/lessons/S3U1L4DP.html   (315 words)

 Math Online Q and A: Two angles are complementary. One angle is 30 degr   (Site not responding. Last check: 2007-10-21) One angle is 30 degrees less than twice the other angle. Then A + B = 90 (The two angles are complementary) and A = 2B - 30 (one angle is 30 less than twice the other angle). The measures of the angles are 40° and 50°. www.mathonline.org /mho/view.cgi?13732   (129 words)

 04Word Problems   (Site not responding. Last check: 2007-10-21) One angle is twice a second angle in a triangle. One angle is five times the measure of the other angle. One angle is 20 more than four times as much as the other. www.tncc.cc.va.us /faculty/donaldson/word_problems2.htm   (752 words)

 Types of Triangles The definitions above apply to angles when we look at one angle alone, but there are also some special relationships between pairs of angles. Complementary angles can be placed so that they form perpendicular lines. Supplementary angles can be placed so that they form a straight line. regentsprep.org /Regents/math/angles/LAngles.htm   (125 words)

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