Pqrs is a rhombus with angle pqr is equals to 58 determine angle PRS

Question

asked Jan 1, 2021 32.3k views

1 Answer

Shani Shalgi · Answer 1 · 2021-01-05T17:33:45+0000

Answer: ∡PRS=61°

Explanation:

As known the following equity is valid for the rhombus:

∡PQR+∡QRS = 180°

So ∡QRS=180°- ∡PQR

∡QRS=180°- 58°= 122°

From another hand we know that PR is bisector of ∡QRS.

So ∡PRS=∡QRS:2= 122°:2=61°

∡PRS=61°