Question

5. In a quadrilateral ABCD, the angles A, B, C
and D are in the ratio 1:2 : 3:4. Find the
measure of each angle of the quadrilateral
.
IAThot
:11
ho
11​

Answer 1

Answer:

Let the angle A,B,C,B be x, 2x, 3x, 4x

A.T.Q

Sum of all angles of quadrilateral = 360°

x + 2x + 3x+ 4x = 360°

10x = 360°

x= 360/10

x = 36

Angle A = x = 36°

Angle B = 2x = 36° × 2 = 72°

Angle C = 3x = 36° × 3 = 108°

Angle D = 4x = 36° × 4 = 144°

Hope it will help you ☺️