Question

In quadrilateral PQRS.
$\angle P:\angle Q:\angle R:\angle S=3:5:9:7$. Find all the angles of quadrilateral PQRS.

Answer 1

Let the angles be $3x,5x,9x,7x$

Sum of all angles of quadrilateral is ${360}^o$

So $3x+5x+9x+7x={360}^o$

$24x={360}^o$

$x={15}^o$

Angles $=45,75,135,105$.