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one angle of parallelogram PQRSis 65 degree. Find the measures of each of the others angle ?



We have ABCD as the given parallelogram.Let ∠A = 65°now, ∠A + ∠B = 180° Adjacent angles of ∥gm are supplementary⇒65° +∠B  = 180°⇒∠B = 180°-65° = 115°now, ∠C = ∠A  Opposite angles of ∥gm are equal ⇒∠C = 65°Now, ∠D = ∠B = 115°Opposite angles of ∥gm are equal

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If one angle is 65 degree then the opposite side is also 65 degree ( Opposite angle of a parallelogram are equal).
Other one of left angle be x
65+x=180 degree (Sum of angles on the same side of transversal is 180)
x= 115 degree , similarly the opposite angle is also 115 degree.
so the angle are 65,65,115,115........
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