Use this image to find the measure of angles 1, 2, and 3.

Answer:
∠ 1 = ∠ 3 = 63° , ∠ 2 = 117°
Step-by-step explanation:
∠ 2 and 117° are vertically opposite angles and are congruent , then
∠ 2 = 117°
∠ 1 and 117° are adjacent angles on a straight line and sum to 180°
∠ 1 + 117° = 180° ( subtract 117° from both sides )
∠ 1 = 63°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 3 = 63°