# The angles of the parallelogram are 1: 4. Find the larger angle of the parallelogram

May 29, 2021 | education

| In a parallelogram, the sum of the angles adjacent to one side is 180 °.

We introduce the coefficient of proportionality x and we find that the degree measure of one angle is x, the second is 4x. The equation looks like this:

x + 4x = 180

5x = 180

x = 36 ° – smaller angle;

4 * 36 = 144 ° – the degree measure of the larger angle.

Answer: The larger angle of the parallelogram is 144 °.

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