Question

If PQRS is a rhombus such that angle PRS=52^ , then find the measure of angle SP and angle PQR .
step by step explain please ​

Answer 1

Answer:

PQRS is a rhombus with ∠PQR=54  

∘

. Determine ∠PRS

PRS=63  

∘

Given that PQRS is a rhombus

∠PSR=∠PQR=54  

∘

(opp. ∠S of a rhombus are equal)

⇒∠OSR=  

2

1

×∠PSR=  

2

1

​

×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  

∘

Answer 2

Answer:

I DON'T KNOW

Step-by-step explanation:

38+360√2

606