# The angle between the heights of the parallelogram drawn from one vertex is 125 degrees.

July 27, 2021 | education

| **The angle between the heights of the parallelogram drawn from one vertex is 125 degrees. Find the angles of the parallelogram.**

Draw two heights from the top of the acute angle, AH and AK.

Let’s designate the angle BAD = X0.

In the resulting quadrangle АHСK, the angle HАК = 125, the angles АHС and АКС = 90, as heights, the angle HСK = X, as opposed to the angle BAD. The sum of these angles is 360.

360 = 125 + 90 + X + 90.

X = 55.

Angle BAD = BCD = 55.

Since the sum of the adjacent angles of the parallelogram is 180, the angle ABC = ADC = 180 – 55 = 125.

Answer: The angles of the parallelogram are 55 and 125 degrees.

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