Question

The angles A, B, C and D of a quadrilateral ABCD are in the ratio of 1:4:5:8, then the angles are​

Answer 1

Answer:

let the angles of the quadrilateral be x, 4x, 5x and 8x

we know that sum of all angles of a quadrilateral is 360°

so,

x+4x+5x+8x=360°

18x=360°

x=360/18

x=20

Now 1st angle

x= 20

2nd angle

4x = 4×20=80°

3rd angle

5x=5×20=100°

4th angle

8x=8×20=160°

Answer 2

Answer:

Let the angles be 1x,4x,5x,8x

now, we can say that:

1x+4x+5x+8x=360

=>18x=360

=>x=360/18

=>x=20

this the angles of quadrilateral are: (1 ×20) = 20,

(4×20)=80, (5×20)=100, (8×20)=160