Question

In a quadrilateral, ABCD, AB||DC. If Angle A:Angle D=2:3 and Angle B:Angle C=7:8, find the measure of each angle. ​

Answer 1

Since ab||dc

a + d = 180

c + b = 180

(co-interior angles)

a:d = 2:3

2x + 3x = 180

x = 36

a = 72

d = 108

similarly

7x + 8x = 180

x = 12

b = 84

c = 96

Hope it helps!!✌️