Question

Find the measure of 1 2 and 3 plz

Answer 1

Answer: 1 = 69°, 2 = 69°, 3 = 111°

Explanation:

The image is that of an isosceles trapezoid. Which means:

1. The base angles (1 & 2) are congruent (equal)
2. which results in the other set of base angles (3 and 111°) being congruent.
3. 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