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

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. One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.