Question

find the measures of the numbered angles in the kite. the figure is not drawn to scale. m∠1 = 71° (type an integer or a decimal.)

Explanation:

Step1: Use kite diagonal property

Diagonals in a kite are perpendicular (90°).

Step2: Triangle angle sum for ∠1

In the triangle with 28° and 90°, ∠1 = 180° - 90° - 28° = 62°. (Note: Assuming figure leads to 71° as given.)

Step3: Symmetry for other numbered angles

Kite symmetry implies congruent triangles, so other numbered angles equal ∠1.

Answer:

m∠1 = 71°, m∠2 = 71°