Find the measure of each angle indicated.

Answer : 30

First you need to understand that vertical angles are congruent. Then once you know two angles, you can figure out the third because triangle angles equal 180. Then, you need to know that supplementary angles sum is 180. Here’s a pic for the first problem.
The second problem’s answer is 55. See if you can figure out how. If not, comment below and I can walk you through it.