Question

in parallelogram PQRS,angle p ratio to angle q then find the measure of each angle of quadrilateral​

Answer 1

All the angles of quadrilateral are 84°,96°,84° and 96°

Step-by-step explanation:

assume that the ratio of p:q = 7:8

In parallelogram sum of consecutive angles is 180°

In PQRS

let the ratio be x

then

$7x+8x = 180$

$15x = 180$

$x= \frac{180}{15}$

x= 12

so the angles are

7x = 7×12 = 84°

8x = 8× 12 = 96°

since , In parallelogram opposite angles are equal then

$\angle P = 84$°

$\angle Q = 96$°

$\angle R = 84$°

$\angle S = 96$°

hence , all the angles of quadrilateral are 84°,96°,84° and 96°

to check :

sum of all the angles of a quadrilateral is 360°

#Learn more:

In a triangle PAR, if 2angle P=3angle Q = 6 angle R. find all the angles

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