Question

in quadrilateral. PQRS , angle P: angle Q, angleR: angleS=3:5:9:7. find all the angle of quadrilateral PQRS​

Answer 1

Answer:

Step-by-step explanation:

In quadrilateral sum of angles  = 360°

⇒∠P + ∠ Q + ∠R + ∠S = 360°

P:Q:R:S = 3:5:9:7 = 3 / 24 : 5/24 : 9 / 24 : 7/24    

     ( DENOMINATOR = 3+5+9+7)

⇒∠P =  360° x 3/24 = 45°

⇒∠Q =  360° x 5/24 = 75°

⇒∠R =  360° x 9/24 = 135°

⇒∠S =  360° x 7/24 = 105°