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

Question

the valu
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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Eden 2 months 2021-11-23T07:25:29+00:00 1 Answer 0 views 0

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    2021-11-23T07:27:16+00:00

    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) .

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