Answer: 1 = 69°, 2 = 69°, 3 = 111°
Step-by-step explanation:
The image is that of an isosceles trapezoid. Which means:
- The base angles (1 & 2) are congruent (equal)
- which results in the other set of base angles (3 and 111°) being congruent.
- Since it is a quadrilateral (4 sides), the sum of the angles is 360°
∠3 = 111° → refer to #2 above.
Let ∠1 =x, then ∠2 = x → refer to #1 above
2(111) + 2(x) = 360 → refer to #3 above
222 + 2x = 360
2x = 138
x = 69
