The sum of 2 angles in a parallelogram is 160 degrees, find its other two sides.
August 31, 2021 | education|
It is known that a parallelogram has opposite angles, and the sum of adjacent angles is 180 degrees. Since it is specified that the sum of two angles is 160 degrees, these angles can only be opposite and equal to each other. Let’s denote the value of the angle through x, hence we have 2 * x = 160, x = 160/2 = 80 degrees.
Let’s denote an adjacent angle with an angle of 80 through y, then 80 + y = 180 degrees, hence y = 180 – 80 = 100 degrees.
Answer: This parallelogram has angles of 100, 100, 80 and 80 degrees.
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