Question

PQRS is a cyclic quadrilateral. If mP= 4 mR, then find mP​

Answer 1

Answer:

You question is not decribed very good

Answer 2

Given:

PQRS is a cyclic quadrilateral

$m<P=4*m<R$

To find:

Value of <P

Solution:

In a cyclic quadrilateral, sum of opposite angles is 180°.

$<P=4*<R$      (given)

Let $<R$ be $x$, then $<P=4x$

Since, $<R$ and $<P$ are opposite angles,

$x+4x=180\\ 5x=180\\ x=\frac{180}{5} \\ x=36$

Since, $<R=x$, then $m<R=36$°

and $<P=4x\\ <P=4*36\\ <P=144$

∴$m<P=144$°

Final Answer

$m<P=144$° in the cyclic quadrilateral PQRS.