Question

13. Copy and complete the proof of Theocem 2-6: If the exterior sides of twoadjacent acute angles are perpendicular, then the angles are complementary,Given: OÀ 1 OCProve: ZAOB and Z BOC are comp. Á.izProot:StatementsRossons1. DA 1 002. AOC - 903. RZAOB + m2. BOC = "ZAOC2. Def. of lines4. Substitution Prop.5. Def, of comp. A5. 2

Answer 1

Statements: Reason:

1. OA l OC adjacent acute angles

2. m<AOC =90 Def of perpendicualr lines

3. m The sum of its degrees is equal to 90º