Question

The angles of quadrilateral are in ratio 1:2:3:4:. Find the measure of each of its angle​

Answer 1

Step-by-step explanation:

let the angles be x , 2x, 3x, and 4x .

now sum of all the angles in a quadrilateral = 360⁰

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

10x=360

x=36⁰

hence the angles will be 36⁰ , 72⁰(2x) , 108⁰(3x) and 144⁰(4x)

Answer 2

Answer:

Let the common ratio of angles of quadrilateral be x.

Therefore, it's four angles are 1x, 2x, 3x, 4x

According to question

1x + 2x + 3x + 4x = 360° ( Angle sum property of quadrilateral )

10x = 360°

x = 360° / 10

x = 36°

1x = 36°

2x = 2 × 36°

= 72°

3x = 3 × 36°

= 108°

4x = 4 × 36°

= 144°