Question

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6. In the given figure, PQRS is a parallelogram with ZSPQ = 80° and
ZSQR = 45°. Find the measure of ZRSQ and ZPSQ.
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Answer 1

Answer:

∠RSQ=55° and ∠PSQ =45°

Step-by-step explanation:

PQRS is a parallelogram with ∠SPQ = 80° and  ∠SQR = 45°.

∠SRQ = 80° (opp. angles of parallelogram)

In ΔSQR, ∠SQR=45° AND ∠SRQ=80°

      SO, ∠RSQ= 180° - ( 80° + 45°) = (180 - 125)° =55°

If ∠SQR=45°, THEN, ∠PSQ = 45° (vertically opposite angle) .