Question

In quadrilateral PQRS, ∠P : ∠Q : ∠R : ∠S = 4 : 5 : 7 : 8. Calculate each angle of the quadrilateral and then prove that PQ ∥ SR.​

Answer 1

Step-by-step explanation:

given ratios of triangle

4:5:7:8

Sum all angles in quadrilateral is equal =360

let take a constant x for solving ratios

4x+5x+7x+8x=360

24x=360

x=15

then

angles are:

60,75,105,120