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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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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 

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