Answer:
angle 1 = 63°
angle 2 = 117°
angle 3 = 63°
Explanation:
angle 2 = 117° (vert.opp.angles)
angle 1 = angle 3 (vert.opp.angles)
angle 1 + angle 2 + angle 3 + 117° = 360°
angle 1 + 117° + angle 3 + 117° = 360°
angle 1 + angle 3 = 360° - 117° - 117°
angle 1 + angle 3 = 126°
angle 1 = 63°
angle 3 = 63°