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