Question

The angle of a quadrilateral are in the ratio of 2:3:5:8 find the measure of each angle

Answer 1

okay!!!!✌️

let ratio be 2x 3x 5x 8x...

We know, Sum of all angles of a triangle=360

2x+3x+5x+8x=360

18x=360

x=360/18

x=20.

Therefore, measure of each angle will be-

2x20=40

3x20=60

5x20=100

8x20=160

Hope it helps.

Answer 2

Answer:

The angles are 40°,60°,100° and 160°

Step-by-step explanation:

⇒ The angle of a quadrilateral are in the ratio of 2:3:5:8

Let the angles be 2x,3x,5x and 8x

Sum of angles in a quadrilateral = 360°

  2x + 3x + 5x + 8x = 360°

     18x = 360°

       x = 360/18

       x = 20°

=> 2x = 2(20) = 40°

    3x = 3(20) = 60°

    5x = 5(20) = 100°

    8x = 8(20) = 160°

The angles are 40°,60°,100° and 160°