In parallelogram MPKC, the diagonal PC is perpendicular to the side MC and is equal to it. Find the angles of the parallelogram.

univerkov | December 12, 2020 | education

MRKS – parallelogram. MS = PC. the PCM angle is straight. Consider a PCM triangle – rectangular, isosceles. Hence, the angles are (180-90) / 2 = 45 degrees. This is the acute angle of the parallelogram. MRKS is a quadrangle, the sum of the angles is 360 degrees. Hence 360- (45 * 2) = 270. 270/2 = 135 degrees.
Answer: the angles are 45,45,135,135

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