Find the acute angle of the rhombus if its perimeter is 16 cm, and the height drawn

Find the acute angle of the rhombus if its perimeter is 16 cm, and the height drawn from the top of the acute angle is 2 cm.

1. Determine the length of the side.

16/4 = 4 centimeters.

2. Consider a triangle formed by one side, height and continuation of the other side. One side is twice as large as the other, that is, the outer angle of an obtuse angle is 30 °. Then the inner 180 – 30 = 150 °.

3. Let’s define a sharp one.

(360 – 150 * 2) / 2 = (360 – 300) / 2 = 60/2 = 30 °.

Answer: 30 °.