One of the corners of the parallelogram is 3 times larger than the other. Find the degree measure

One of the corners of the parallelogram is 3 times larger than the other. Find the degree measure of the larger angle of the parallelogram.

A distinctive feature of a parallelogram is that its opposite angles are equal. The sum of the angles in any quadrangle, including a parallelogram, is 360 °. Let us express the degree measure of the smaller angle with the letter x, compose and solve the equation:

x + x + 3x + 3x = 360;

8x = 360;

x = 360/8;

x = 45 ° – smaller parallelogram angle;

45 * 3 = 135 ° – the desired larger angle of the parallelogram.