Question

In a quadrilateral PQRS; if angle P is 120°,angle Q is 60°, angle R=1/4*angle P,then angle S is equals to​

Answer 1

Step-by-step explanation:

Given that:

In a quadrilateral PQRS ,

angle P=120°

angle Q=60°

angle R=1/4 of angle P

=>angle R=(1/4)×120°

=>angle R=120°/4

=>angle R=30°

Now In a quadrilateral the sum of all angles is 360°

=>angle P+angle Q +angle R+ angle S=360°

=>120°+60°+30°+angle S=360°

=>angle S+210°=360°

=>angle S=360°-210°

=>angle S=150°

The angle S is equal to 150°