<A and <B are supplementary angles and the measure of <B is 5 times the measure of <A. Find the measures of <A and <B

Question

This is a geometry question, that I can't seem to figure out.

Answer 1

Since B is 5 times the measure of A, when we add them together we get 6 times the measure of A, and supplementary angles add up to 180°, so if we divide 180° by 6 we will get the measure of A. A is therefore 30° and B is 5 times this: 150°.