Question

In the figure, PQRS is a cyclic quadrilateral. Find the value of x R 50°
35⁰ P
O 135°
O 145°
O 85°
O 95°​

Answer 1

Answer:

Here, PQRS is a cyclic quadrilateral.

We know, opposite angles of a cyclic quadrailateral are supplementary.

∴3x+x=180

and 2y+y=180

=> 4x=180

and 3y=180

⇒x=45

and y=60

∴∠P=3x=3×45

=135

 and ∠Q=y=60