Question

find the measures of the numbered angles in the kite. the figure is not drawn to scale. m∠1 = □° (type an integer or a decimal.)

Explanation:

Step1: Kite diagonals are perpendicular.

Diagonals intersect at 90°.

Step2: 38° angle is bisected by diagonal.

Each part: $\frac{38°}{2}=19°$.

Step3: Right triangle angle sum.

$m∠1=180°-90°-19°=71°$.

Answer:

71