Question

Angles of a quadrilateral are in the ratio of 1:2:3:4, determine the measures of all
the angles​

Answer 1

Answer:

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

10x=360

x=36

2x=72

3x=108

4x=114

Answer 2

Let angle be 1x, 2x , 3x & 4x respectively.

We known the ASP of quadrilateral is 360°

Therefore,

1x + 2x + 3x + 4x = 360°

10x = 360°

x = 360/10

x = 36

Substituting the value of x we get,

1x = 36°

2x = 72°

3x = 108°

4x = 114°