In the parallelogram, the angle between the heights drawn from the top of the obtuse angle is 48
| April 27, 2021 | education
In the parallelogram, the angle between the heights drawn from the top of the obtuse angle is 48 degrees, find the obtuse angle of the parelogram
Consider the quadrilateral AKCH.
Angle AKC and angle AHK are equal to 90, since AK and AH are heights to the sides of the parallelogram.
The sum of the inner angles of the quadrilateral is 360, then the angle ВСD = (360 – KАH – АKС – АHС) = (360 – 48 – 90 – 90) = 132.
Answer: The obtuse angle of the parallelogram is 132.
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