Given ABCD parallelogram, AE bisector, CAD angle is 32 degrees. Find Angle C and Angle D.
| April 10, 2021 | education
Since AE is the bisector of the angle, the angle EAD = BAE = 32.
Then the angle BAD = BAE + EAD = 32 + 32 = 64.
In a parallelogram, the sum of adjacent angles is 180, then the angle ADC = 180 – BAD = 180 – 64 = 116.
Since the opposite angles of the parallelogram are equal, the angle ВСD = BAD = 64.
Answer: Angle C is 640, Angle D is 116.
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