Question

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

Explanation:

Step1: Find angle 3

Diagonals of a kite bisect vertex angles. So $\angle 3 = \frac{46^\circ}{2} = 23^\circ$.

Step2: Calculate angle 2

In $\triangle ACD$, $\angle 1=90^\circ$, $\angle 3=23^\circ$. Sum of angles in triangle is $180^\circ$.
$\angle 2 = 180^\circ - 90^\circ - 23^\circ = 67^\circ$.

Answer:

$m\angle 2 = 67^\circ$