One of the corners of the rhombus ABCD = 72 degrees. Find the corners of the diamond.

In order to find the degree measure of the three remaining angles of a rhombus, we will recall the properties of the angles of a rhombus and find them using a linear equation.

So, in a rhombus, as in a parallelogram, the angles have the following properties.

There are two pairs of angles in a rhombus:

1. opposing and they are equal to each other;

2 adjacent to one side and their sum is 180 °.

So, based on the first property, we have two angles of 72 °.

Let’s denote one more angle as x °.

x + 72 = 180;

x = 180 – 72;

x = 108 ° degree measure of the second pair of opposite angles.



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