Answer:
a = 50°, b = 67°, c = 67°, d = 63°, e = 130°, f = 50°, g = 67°
Step-by-step explanation:
The 50° angle and a are alternate interior angles and are congruent when the lines are parallel. So, a = 50
The 50° angle and f are vertical angles which are congruent. So, f = 50
The 50° angle and e are supplementary. So, e + 50 = 180, or e = 130
The 113° angle and b are supplementary. So, b + 113 = 180. or b = 67
b and g are vertical angles, so g = 67
b and c are alternate angles, so c = 67
c + d + 50 = 180
67 + d + 50 = 180
117 + d = 180
d = 63
Therefore, a = 50°, b = 67°, c = 67°, d = 63°, e = 130°, f = 50°, g = 67°
