Sections BH and BK are the heights of the parallelogram ABCD. Find the value of the HBK angle if the ВСD angle is 37 degrees.
| August 5, 2021 | education
Consider a triangle BKC.
The angle K is 90 °, the angle C is 37 °. Since the sum of the angles in a triangle is 180 °, we calculate the value of the angle CВК:
CВК = 180 ° – (90 ° + 37 °) = 53 °.
The angle СВН is equal to 90 ° (since ВН – height), which means the angle НВК = СВН – СВК = 90 ° – 53 ° = 37 °.
Answer: the HBK angle is 37 °.
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