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What must m∠QPS be for PQRS to be a parallelogram?

There is a quadrilateral PQRS in which the length of side PQ is 6b, the length of side QR is 4a+1, the length of side RS is 11b-10, and the length of side PS is 2a+9. The measure of angle PQR is (6x+13) degrees and the measure of angle PSR is (7x-5) degrees.

1 Answer

5 votes

Answer: 50 degrees

Explanation:

m∠QPS = 180 - m∠PQR - m∠PSR

= 180 - 125 - (7x - 5)

= 50 degrees

User Fabian Lauer
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