Question

the pair of angles of a quadrilateral are in the ratio 5:2:3:8 find the angles​

Answer 1

5x+2x+3x+8x = 180°

18x = 180°

$\huge\boxed {x= 10°}$

$\boxed{50° ; 20° ; 30° ; 80°}$

Answer 2

The ratio of angles of quadrilateral are

2 : 3 : 5 : 8

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

⇒ Let the four angles be 2x,3x,5x and 8xWe know, sum of four angles of quadrilateral is 360°

2x+3x+5x+8x=360°

⇒ 18x=360°

⇒ x=20°

The angles are,

⇒ 2x=2×20 °

=40°

⇒ 3x=3×20

=60°

⇒ 5x=5×20°

=100°

⇒ 8x=8×20°

=160°

∴ The smallest angle of the quadrilateral is 40°

I HOPE IT WILL HELP YOU