# 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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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