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Question

In a rhombus PQRS, if PQ=7.5, then find QR. If QPS=75, then find the measure of PQR and SRQ.

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Solution

All the sides of a rhombus are equal.
So, PQ=QR=7.5 cm
A rhombus is also a parallelogram so,
QPS=SRQ=75o
(opposite angles of a parallelogram are congruent)
Also, QPS+PQR=180o
(interior angles on the same side of the transversal are supplementary)
75o+PQR=180o
PQR=105o
1814207_1535949_ans_5c83954d891e4a3db26d73919c7bb661.png

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