Question

given that <1 and <2 are supplementary angles and that m<1 =115 explain how to find the measure of the complement of <2

Answer 1

A supplementary < = 180° <1 =115° just subtract 180° - 115° = 65° <2 =65°

Answer 2

You can find the measure of the complement of <2 by using the linear pair postulate. It says that if two angles can form a linear pair, then they are supplementary. so <1+<2=180, 115+<2=180 becomes <2=65, so the answer is 65. This is how you can find the measure of the complement of <2.