Question

The four angles of a quadriletaral are in the ratio of 1:2:3:4. Find the measures of each angles of the quadrilateral​

Answer 1

Answer:

1x+2x+3x+4x=360

= 10x=360

x=360/10

x=36

then, 1x= 1x36=36

2x=2x36=72

3x=3x36=108

4x=4x36=144

l hope this answer will help you

Answer 2

Answer:

36° , 72° , 108° , 144°

Step-by-step explanation:

Given the angles of a Quadrilateral are in the ratio 1 : 2 : 3 : 4

Sum of all angles of a quadrilateral = 360°

∠A + ∠B + ∠C + ∠D = 360°

let ratio = x :2x : 3x : 4x

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

10x = 360

x = 36

The angles are,

∠A = 36°

∠B = 72°

∠C = 108°

∠D = 144°