Question

PQRS is a rhombus whose angle PQR = 60°,find angle RPS​

Answer 1

Answer:

1.8503985043

Step-by-step explanation:

Answer 2

Answer:

Given that PQRS is a rhombus

∠PSR=∠PQR=54∘  (opp. ∠S of a rhombus are equal)

⇒∠OSR=21×∠PSR=21×54∘=27∘ (SQ bisects ∠PSR)

Now in ΔOSR

∠ORS+∠ROS+∠OSR=180∘

⇒∠ORS+27∘+90∘=180∘

(Diagonals of a rhombus bisect each other at right ∠s)

⇒∠ORS=63∘

⇒∠PRS=63∘