The angle of the rhombus is 136 degrees. Find the value of the acute angle of the rhombus.

It is known from the condition that one of the angles of the rhombus is 136 °. We need to find the value of the acute angle of the rhombus.

We start by denoting the degree measure of the smaller angle as x °.

Let’s also apply the properties of the rhombus corners – the opposite corners of the rhombus are equal to each other.

That is, a rhombus has two 136 ° angles and two x ° angles.

The sum of the angles of a rectangle is 360 ° (a rhombus is also a rectangle).

We get the equation:

136 * 2 + 2 * x = 360;

272 + 2x = 360;

2x = 360 – 272;

2x = 88;

x = 44 ° two sharp corners.

Answer: 44 °.