Question

The angles of a quadrilateral are in the ratio 2:3:4:6 find it angles

Answer 1

Answer:

let the angles be,

2x,3x,4x,6x

we know that the sum of all the angles of a quadrilateral is 360 degree

⇒2x+3x+4x+6x=360

⇒15x=360

⇒x=360 ÷ 15

⇒x=24

therefore the angles are-

2x⇒2*24=48 degree

3x⇒3*24=72 degree

4x⇒4*24=96 degree

6x⇒6*24=144 degree

Answer 2

Answer:

Let the ratio of angles be 2x : 3x : 4x : 6x

We know that the sum of each int. angle of a quad is 360°

A/q

2x + 3x + 4x + 6x = 360

=> 15x = 360°

=> x = 360/15 = 24

Now,

The angles are :

2x = 2×24 = 48°

3x = 3×24 = 72°

4x = 4×24 = 96°

6x = 6×24 = 144°

Ans...