Question

70%
B.
The four angles of a quadrilateral are in the ratio 2:3:6:9. Find the angles.​

Answer 1

Answer:

let the ratio be 2 x 3 x 6 x 9 X

sum of quadrilateral is equal to 360

sum of ratio is equal to 20

20 x is equal to 360

x =360/ 20

=18

and put the value and put the value in X

2x= 2×18=36

like this

Answer 2

Let the angles be 2x, 3x, 6x and 9x

We know that sum of angles in a quadrilateral is 360°

So,

2x+3x+6x+9x = 360

==> 20x = 360

==> x = 360/20 = 18

Substituting the value of x, we get the angles as

2x = 2×18 = 36

3x = 3×18 = 54

6x = 6×18 = 108

9x = 9×18 = 162

Therefore the angles are: 36°, 54°, 108° and 162°