Question

In a quadrilateral PQRS, side PQ is parallel to SR, if

∠ : ∠S = 2 : 1 and ∠R : ∠Q = 4 : 5. Calculate each angle of the quadrilateral.​

Answer 1

Answer:

<P + <Q + <R + <S = 360 - 1.

Let <P = 2x

<Q = 5x

<R = 4x

<S = 1x

according to 1.

2x + 5x + 4x + 1x = 360

12x = 360

x = 360/12

x = 30

Step-by-step explanation:

therefore,

<P = 2x = 2*30 = 60

<Q = 5x = 5*30 = 150

<R = 4x = 4*30 = 120

<S = 1x = 1*30 = 30