In parallelogram ABCD, the height BK is drawn, and the angle BCD is 4 times the angle ABK. Find the corner BAD.
| February 7, 2021 | education
Since the parallelogram has the same opposite angles. That is the angle ВAD = ВСD.
Then in the triangle AВK, let the value of the angle AВK = X0, then the angle of the ВСD = ВAD = 4 * X0.
The sum of the inner angles of the triangle ABK will be: (X + 4 * X + 90) = 180.
5 * X = 180.
X = AВK = 180/5 = 36.
Then the angle ВAD = ВAK = 4 * 36 = 144.
Answer: The ВAD angle is 144.
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