Question

the four angles of a quardilateral are in the ratio 1:2:3:4 find the measure of each of the quadrilateral​

Answer 1

Answer

Given, the four angles of a quadrilateral are in the ratio 1:2:3:4

Let the angles be x,2x,3x & 4x.

∴ x+2x+3x+4x=360

⇒10x=360

∴ x=36°

∴ angles are 36° ,72° ,108° & 144°

Answer 2

Answer:

let all the angles = x

1=x

2=2x

3=3x

4=4x

We all know that the sum of all angles of a quadrilateral is 360°

x+2x+3x+4x=360°

10x=360°

x=360/10

x=36°

2x=2×36=72°

3x=3×36=108

4x=4×36=144°