Question

Find the angle measures given the figure is a rhombus.

Answer 1

The four interior angles in any rhombus must have a sum of degrees. The opposite interior angles must be equivalent, and the adjacent angles have a sum of degrees. Since, both angles and are adjacent to angle --find the measurement of one of these two angles by: . Angle and angle must each equal degrees.— hope this helped:D

Answer 2

The measure of angle 1 in the rhombus is determined as 74⁰.

How to calculate the measure of angle 1?

The measure of angle 1 is calculated by applying the following formula as shown below;

Each diagonal of a rhombus bisects the angle through which it passes.

Also, the opposite angles of a rhombus are equal.

The missing angles of the rhombus is calculated as follows;

(32 + 32) + 4(∠1) = 360 (sum of angles in a rhombus)

64 + 4∠1 = 360

4∠1 = 360 - 64

4∠1 = 296

∠1 = 296 / 4

∠1 = 74⁰

From the diagonal of the rhombus given, we calculated the value of angle 1 as ∠1 = 74⁰.