Question

in a quadrilateral PQRS, the angle P, Q, R and S are in the ratio 3:4:5:6 . find the measure of each angle of quadrilateral​

Answer 1

Step-by-step explanation:

Ratios of angles are 3:4:5:6

Let the angles be P=3x,Q=4x,R=5x and S=6x.

Sum of angles of the quadrilateral is 360o.

∴  3x+4x+5x+6x=360o

⇒  18x=360o

⇒  x=18360o

⇒  x=20o

⇒  ∠P=3x=3×20o=60o

⇒  ∠Q=4x=4×20o=80o

⇒  ∠R=5x=5×20o=100o

⇒  ∠S=6x=6×20o=120o

⇒  ∠P+∠S=60o+120o=180o

⇒  ∠Q+∠R=80o+100