Question

3) In a rhombus
PORS if PQ=7.5 then find QR. IF ZEPS= 75° then find the measures of LPQR and LSRO.
a​

Answer 1

SOLUTION

All the sides of a rhombus are equal.

So, PQ = QR = 7.5 cm

A rhombus is also a parallelogram so,

∠QPS = ∠SRQ = 75°

(opposite angles of a parallelogram are congruent)

Also, ∠QPS + ∠PQR = 180°

(interior angles on the same side of the transversal are supplementary)

⇒ 75° + ∠ PQR = 180°

⇒ ∠PQR = 105°

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