Question

Deductive Reasoning / 5913. Copy and complete the proof of Theorem 2-6: If the exterior sides of twoadjacent acute angles are perpendicular, then the angles are complementary.Given: OAI OGProve: Z AOB and 2 BOC are comp. 4.BProof:Statements0Reasons1?1. OA 1 OC2. m ZAOC = 903. m ZAOB + m2 BOC = m 2 AOC4.25. 22. Def. of 1 lines3. 24. Substitution Prop.5. Def. of comp. 4

Answer 1

Reasons

1. Given

3. Angle addition postulate

Statements

4.

`m\angle\text{AOB}+m\angle\text{BOC}=90º`

5.

`\angle\text{AOB and}\angle\text{BOC are complementary}`