One corner of the parallelogram is 56 degrees larger than the other. find the degree measure of the larger

One corner of the parallelogram is 56 degrees larger than the other. find the degree measure of the larger of the angles of the parallelogram.

A parallelogram is a quadrilateral whose opposite sides are equal and parallel. The opposite angles of the parallelogram are equal. The sum of two different angles (adjacent angles) is 180 °.

Let’s solve the problem using the equation, where:

x ° – smaller angle of the parallelogram;

(x + 56) ° – greater angle of the parallelogram (since it is 56 ° larger than the other);

Let’s compose and solve the equation:

x + (x + 56) = 180;

x + x + 56 = 180;

2x + 56 = 180;

2x = 180 – 56;

2x = 124;

x = 124/2;

x = 62 ° – greater angle of the parallelogram.

Answer: 62 °