Question

1. what is the measure of \\( \angle a o d \\)?

\\( 180 ^ { \circ } \\)
\\( 40 ^ { \circ } \\)
\\( 80 ^ { \circ } \\)
\\( 90 ^ { \circ } \\)

Explanation:

Step1: Recall the properties of a rhombus

In a rhombus, the diagonals are perpendicular bisectors of each other.

Step2: Analyze the angle \(\angle AOD\)

Since the diagonals of a rhombus are perpendicular, \(\angle AOD = 90^{\circ}\)

Answer:

\(90^{\circ}\)