in a parallelogram pqrs angle p: q = 7:8 find all angles of quadrilateral
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Let common multiple be x.
Then,
Angle p=7x and angle q=8x.
As adjacent angles are supplementary,
Angle p+Angle q=180
=>7x+8x=180
=>15x=180=>x=12.
Angle p=7x=84 degrees and angle q=96 degrees l.
As opposite angles are equal in a parallelogram,
Therefore,
angle p=angle r and angle q=angle s.
Hence angle p=angle r=84 degrees and angle q =angle s =96 degrees.
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