Question

in quadrilateral measure of four angles are in ratio 1:4:2:2 find measure of each angle​

Answer 1

Let All angles of a quadrilateral is 1x, 4x, 2x and 2x.

By angle sum property.

1x + 4x + 2x + 2x = $360^{0}$

9x = $360^{0}$

Divide both the sides by 9;

x = $40^{0}$

Now,

1x = 1 x 40 = $40^{0}$

4x = 4 x 40 = $160^{0}$

2x = 2 x 40 = $80^{0}$

2x = 2 x 40 = $80^{0}$

Answer 2

Answer:

40° , 160° , 80° , 80°

Step-by-step explanation:

Given the angles of a Quadrilateral are in the ratio 1 : 4 : 2 : 2

Sum of all angles of a quadrilateral = 360°

∠A + ∠B + ∠C + ∠D = 360°

let ratio = x : 4x : 2x : 2x

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

9x = 360

x = 40

The angles are,

∠A = 40°

∠B = 160°

∠C = 80°

∠D = 80°