Question

find the measures of the numbered angles in the kite.
m∠1 = 90°
m∠2 = □°

Explanation:

Step1: Find angle 3

The diagonal AC bisects ∠BAD (46°), so ∠3 = 46°/2 = 23°.

Step2: Find angle 2

In right triangle ACD (∠1=90°), ∠2 + ∠3 + 90° = 180°. Thus ∠2 = 180° - 90° - 23° = 67°.

Answer:

m∠2 = 67°