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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°. - PowerPoint PPT Presentation
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12.1 Complementary and Supplementary Angles
Homework: p689, #12-22 even
Key Terms Complementary Angles:
__________________________________
Supplementary Angles: __________________________________
Complement: __________________________________
Supplement:__________________________
_____________________________
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°
Example 1: Identify Complements and Supplements
Determine whether the angles are complementary, supplementary, or neither.
1. m1 = 48°m2 = 42°
2. m3 = 125°m4 = 55°
Checkpoint Determine whether the angles are
complementary, supplementary, or neither.
1. m1 = 63°m2 = 27°
2. m3 = 146°m4 = 44°
3. m5 = 95°m6 = 85°
Keywords
Adjacent angles : _______________________________________________________________________
Example:
Two angles that share the same side
Example 2: Identify Adjacent Angles
List the numbered angles that are adjacent and then list the nonadjacent angles.
Adjacent Angles Non-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.