Asked by Chanel

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

Instead of giving just the answer can you explain in words of how you got the answer please!
Answered by Damon
A2 = 180 - A1

A2 = 180 - 115 = 65 because they are supplements

90 - 65 = 25 because complements add to 90 degrees
Answered by Steve
the two angles must add to 180 degrees.
So, to get <2, subtract <1 from 180

Complementary angles add to 90, so the complement of 2 is 90 - <2

Or to do it all in one step, if the measure of <1 is x, then the complement of <2 is

90-(180-x) = x-90