Question

How do I find these angle measures?

Answer 1

the measure of angle 1 is 75 degrees because it is a corresponding angle with the one given of 75 degrees
the measure of angle 2 is 105 degrees because it forms a supplementary angle with the one next to it that is 75 degrees. (this means they add up to 180 degrees.

Answer 2

m∡1 = 75° because when parallel lines are cut by a transversal, corresponding angles are congruent

m∡2 = 180° - 75° = 105° because when adjacent angles form a straight angle (linear pair) they are supplementary