Question

> PARS is a quadrilateral in which Pq |1R3,
LPQR is 130 and LOPS = 75°, Find LPSR
and LORS​

Answer 1

Answer:

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