Question

How do I find the measure of angle 1 and 2

Answer 1

Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.

Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)

∠1 = ∠2 = 117°