Question

PQRS is a cyclic quadrilateral inscribed in a circle if M is a point on

line segment PR such that PM=QM and QMS is a straight line prove

that MS=MR​

Answer 1

Step-by-step explanation:

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

∘

.

Hence, option A is correc