Answer:
∠1 = ∠2 = 135
Explanation:
We know that the sum of the interior angles of a polygon of n sides = (n – 2) × 180° = 3 x 180°= 540°. Hence, the sum of interior angles of a pentagon is 540°.
so ∠1 + ∠2 + 3(90°) = 540°
since ∠1 = ∠2
∠1 + ∠1 + 3(90) = 540
2∠1 + 270 = 540
2∠1 = 540 - 270
2∠1 = 270
∠1 = 270/2 = 135