Question

In the given figure, PQRS is a parallelogram with angle SPQ = 80° and angle SQR = 45° . Find the measure of angle RSQ and angle PSQ.​

Answer 1

Answer:

<RSQ=35° AND <PSQ=55°

Step-by-step explanation:

we know that,

<P=<Q<R=<S=90°

<SQR=45°

<Q=<SQR+<PQS

90°=45°+<PQS

<PQS=45°

IN TRIANGLE PQS

<SPQ+<PQS+<QSP=180°

80°+45°+<QSP=180°

<QSP=55°

<S=<QSP+<QSR

90°=55°+<QSR

<QSR=35°

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