Question

Solve :

1) 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.​

Answer 1

Answer:

∠A:∠B:∠C:∠D=1:2:3:4

So, let ∠A=x,∠B=2x,∠C=3x,∠D=4x

Therefore, by angle sum property of quadrilateral,

x+2x+3x+4x=360

10x=360

x=36

Hence,

∠A=36

∠B=72

∠C=108

∠D=144

Answer 2

let angle A be x

let angle B be 2x

let angle C be 3x

let angle D be 4x

using angle sum property of a quadrilateral

x+2x+3x+4x = 360

10x = 360

x = 36

Angle A = x = 36

Angle B = 2x= 2*36= 72

Angle C = 3x = 3*36 = 108

Angle D = 4x = 4*36 = 144