Complementary and Supplementary Angles

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Presentation transcript:

Complementary and Supplementary Angles Section 2.2 Elena de Soto

Complementary and Supplementary Angles Often times we see angles that measures add up to either a right angle or a straight angle. These are Complements and Supplements.

Video on Complementary Angles http://youtube. com/watch Video on Complementary Angles http://youtube.com/watch?v=93gal5blsU4 Video on Supplementary Angles http://youtube.com/watch?v=3gwcv9LSBO8

Complements Complementary angles are two angles whose sum is 90° (or a right angle). Each of the two angles is called the complement of the other.

Practice Find the complement of 58° Answer=32°

Supplements Supplementary angles are two angles whose sum is 180° (or a straight angle). Each of the two angles is called the supplement of the other

Practice Find the supplement of 139° Answer=41°

Sample Proof

Algebraic Problems An angle and its complement add to a right angle. An angle and its supplement add to a straight angle. Since a right angle is 90 degrees and a straight angle is 180 degrees. The complement of an angle x degrees is (90 - x) degrees. The supplement of an angle x degrees is (180 - x) degrees.

Algebraic Formula

Find the measure of XVS Answer=60°

More Practice Problems For more practice problems, it is recommended to try book page 70 #12-24

Works Cited Angles in Geometry. 25 Nov. 2007. Analyze Math. 29 May 2007 <http://www.analyzemath.com/Geometry/angles.html>. Rhoad, Richard. Geometry for Enjoyment and Challenge. Illinois: McDougal Littell, 1991. The Math Forum. Drexel. 29 May 2007 <http://mathforum.org/library/drmath/view/53168.html>.