Question

11. The angles of a quadrilateral are in the ratio 2:3:5:8. Find the angle​

Answer 1

Answer:

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

so

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

18x=360

x= 20

Angles will be 2x=2×20=40

3x=3×20=60

5x=5×20=100

8x=8×20=160

Answer 2

Step-by-step explanation:

let the given quadrilateral be ABCD

The ratio of angle's of quadrilateral =2:3:5:8

<A=2x

<B = 3x

<c = 5x

<D =8x

By the property of quadrilateral ,

The sum of all the angles = 360°

<A+<B+<C+<D = 360°

2x + 3x + 5x + 8x = 360°

18x = 360°

x = 360/18

x= 20

<A = 2x

= 2× 20

=40°

< B= 3x

=3× 20

=60°

<C = 5x

= 5 × 20

= 100°

<D = 8x

= 8× 20

=160°