Question

 line m || line n m<4 = 72°
what is the measure of angle 1?

Answer 1

angle 1 = 108°

Explanation:

You want the measure of angle 1, given the measure of angle 4 is 72° in the diagram.

Linear pair

Angles 1 and 4 are a linear pair, so are supplementary:

angle 1 + angle 4 = 180°

angle 1 + 72° = 180°

angle 1 = 108° . . . . . . . subtract 72°