Question

In a quadrilateral, the angle A,B,C and D are in th t
he ratio1:2:3:4. Find each angle

Answer 1

let angle a = x

b = 2x

c = 3x

d 4x

X+2X+3x+4x=360°(angle sum property of quadrilateral

Answer 2

Let 1:2:3:4 be 1x, 2x, 3x & 4x

Now, In a quadrilateral,

angle 1 + angle 2 + angle 3 + angle 4 = 360°

now,

let 1x be angle 1

2x be angle 2

3x be angle 3

and 4x be angle 4

therefore,

1x + 2x + 3x + 4x = 360°

10x = 360°

x = 360°/10

therefore, x = 36°

therefore, angle 1 = 1x = 36°

angle 2 = 2x = 72°

angle 3 = 3x = 108°

angle 4 = 4x = 144°