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12.1 Complementary and Supplementary Angles Homework: p689, #12-22 even. Key Terms. Two angles that add to equal 90°. Two angles that add to equal 180°. To find a complement, subtract the given measure from 90°. To find a supplement, subtract the given measure from 180°.
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12.1 Complementary and Supplementary AnglesHomework: p689, #12-22 even
Key Terms Two angles that add to equal 90° Two angles that add to equal 180° To find a complement, subtract the given measure from 90° To find a supplement, subtract the given measure from 180° Complementary Angles: __________________________________ Supplementary Angles: __________________________________ Complement: __________________________________ Supplement:__________________________ _____________________________
Example 1: Identify Complements and Supplements Determine whether the angles are complementary, supplementary, or neither. m1 = 48°m2 = 42° m3 = 125°m4 = 55°
Checkpoint Determine whether the angles are complementary, supplementary, or neither. m1 = 63°m2 = 27° m3 = 146°m4 = 44° m5 = 95°m6 = 85°
Keywords Two angles that share the same side Adjacent angles : _______________________________________________________________________ Example:
Example 2: Identify Adjacent Angles List the numbered angles that are adjacent and then list the nonadjacent angles. Adjacent AnglesNon-adjacent Angles
Example 3: Measures of Complements and Supplements a.) A is a complement of C, and m A=47°. Find m C b.) P is a supplement of R, and m R=36°. Find m P.
Checkpoint 4.) B is a complement of D, and mD=79°. Find mB 5.) G is a supplement of H, and mG=115°. Find mH.
Closure Describe what complementary angles are. Describe what supplementary angles are.
Connection to Algebra • Find the value of x in the figure. Then find the unknown angle measures. 1. 3. 2.