One of the corners is three times the size of the other, find the corners of the rhombus.

It is known from the condition that one of the corners of the rhombus is 3 times larger than the other. It is necessary to find the degree measures of all angles of the rhombus.

Let’s first recall the properties of the rhombus corners. So, opposite angles are equal to each other. And we also know that the sum of the one-sided angles of a rhombus is 180 °.

Let’s denote by x ° the degree measure of one of the one-sided angles, and the degree measure of the second one-sided angle is 3x °.

Let’s compose and solve the equation:

3x + x = 180;

4x = 180;

x = 180: 4;

x = 45 ° smaller angle, 45 * 3 = 135 ° larger angle.