Complementary and Supplementary Angles Instruction

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Proving the Congruent Supplements Theorem

Ty

Statements Reasons

Given: 21 and 22 are supplements, 23

and 24 are supplements, and

21 24

Prove. 22 23

m2 1 = m24

m2 = m23

m2 1 + m2 = 180

212 24

m2 1 + m2 2 = m_3+ m21

m 1 + m22 = 23+ m24

Reasons

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1. given

Statements

✓ 1.21 and 22 are supp

✓ 2.23 and 24 are supp

✓ 3. m23 + m/ 4 = 180

MEA

2. given

3. def. of supplementary angles

Hint