Question

The angles of a quadrilateral are in the ratio 2:1:4:3. Find them.​

Answer 1

Answer:

Sum of all interior angles of a quadrilateral = 360°

Now,Let all angles be - 2x,x,4x and 3x

Now,

2x+x+4x+3x= 360°

=> 10x = 360°

So, x = 360/10 = 36°

Now,

2x = 2×36 = 72°

x= 36°

4x = 4× 36 = 144°

3x= 3×36 = 108°

Now all angles are 72°,36°,144° and 108°

Answer 2

Step-by-step explanation:

let the angle be x

2x+1x+4x+3x = 360° (sum of all sides of quadilateral

10x = 360°

x = 360°÷10

x =36°

2x = 36°×2 72°

1x =36°

3x =36°×3 108°

4x =36°× 4 144°