Question

In a Quadilateral ABCD its being given that AB||DC.
A:D= 2:3 and B:C= 4:5
Find the measure of each angle

Answer 1

Answer:

A

Step-by-step explanation:

Angle A : D = 2 : 3

Angle B : C = 4 : 5

Now = 2x + 3x = 180

= 4y + 5y = 180

= 5x = 180

= x = 180 ÷ 5 = 36

Now Angle A = 2x = 36 × 2 = 72

" " D = 3x = 36 × 3 = 108

Now B : C = 4 : 5

Let it be 4y and 5y

= 4y + 5y = 180

9y = 180

y = 180 ÷ 9 = 20

Now Angle

B = 4y = 4 × 20 = 80

C = 5y = 5 × 20 = 100

To check

Sum of quadrilateral = 360

And sum of all angles = 360