Question

The angles of a quadrilateral are in the ratio 1:2:2:4. Find the measure of all 4 angles of a quadrilateral.​

Answer 1

Answer:

PLEASE MARK  AS BRAINLIEST

Step-by-step explanation:

Let the angles of quadrilateral be

1x, 2x, 2x , 4x

sum of all angles of quadrilateral = 360°

1x + 2x + 2x + 4x = 360°

9x = 360°

x = 360/9 = 40°

Ans. the four angles are :-

x = 40°

2x = 2 × 40 = 80°

3x = 3 × 40 = 120°

4x = 4 × 40 = 160°

Answer 2

Step-by-step explanation:

let the angles be x,2x,2x and 4x

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

9x=360

x=40°

(sum of all angles of a quadrilateral)

angle 1=x=40°

angle 2=2x=2*40=80°

angle 3=2x=2*40=80°

angle 4=4x=4*40=160°