Question

the four angle of a quadrilaterl are in ratio 5 : 2 : 3 : 8 find the angle​

Answer 1

Angles of a quadrilateral are in ratio 5:2:3:8

We already know that the sum of all angles of quadrilateral is 360°

5x + 2x + 3x + 8x = 360°

18x = 360°

x = 360/18

x = 20°

So,

the measure of angles are

5x = 5×20 => 100°

2x = 2×20 => 40°

3x = 3×20 => 60°

8x = 8×20 => 160°

__________________________

HOPE IT HELPS YOU✅✔️

Answer 2

ATQ, the four angle of a quadrilateral are on ratio 5 : 2 : 3 : 8

let the four angles be 5x, 2x, 3x and 8x

we know that the sum of all interior angle of a quadrilateral is 360°

therefore 5x + 2x + 3x + 8x = 360°

➡ 18x = 360°

➡ x = 360/18

➡ x = 20°

hence, the angles of the quadrilateral are :-

• 5x = 5 × 20 = 100°
• 2x = 2 × 20 = 40°
• 3x = 3 × 20 = 60°
• 8x = 8 × 20 = 160°

VERIFICATION = 100 + 40 + 60 + 160

= 200 + 160

= 360°

hence verified.