The measure of angle PQR is 64.
What is property of parallelogram?
Opposite angles are equal. Opposite sides are equal and parallel. Diagonals bisect each other.
Sum of any two adjacent angles is 180°
Given:
angle QRP = 32, angle PRS = 84
So, angle QRS= 32+84
angle QRS= 32+84
angle QRS= 116.
As, angle PQR is adjacent to angle QRS in a parallelogram and sum of adjacent angle is 180.
Thus,
QRS+ PQR =180
116 + PQR= 180
angle PQR = 64.
Hence, angle PQR = 64.
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