Question

1. find the measures of the numbered angles in rhombus qrst.

Explanation:

Step1: Identify rhombus properties

Diagonals bisect angles; opposite sides equal.

Step2: Find angle 4

Angle 4 = 31° (diagonal bisects ∠R).

Step3: Find angle 1

Diagonals are perpendicular: angle 1 = 90°.

Step4: Find angle 3

Triangle RST: angle 3 = 31° (equal sides → equal angles).

Step5: Find angle 2

Triangle QST: angle 2 = 31° (equal sides → equal angles).

Answer:

Angle 1 = 90°, Angle 2 = 31°, Angle 3 = 31°, Angle 4 = 31°