Question

the angles of a quadrilateral are in the ratio 2 ratio 4 ratio 6 ratio 8 find the measure of each angle of the quadrilateral​

Answer 1

Answer:

36,72,108,144

Step-by-step explanation:

Let the ratio be 2x,4x,6x,and 8x

Now as we know that the sum of quadrilateral is 360

So, 2x+4x+6x+8x = 360

Now 20x = 360

x = 360/20 = 18

Answer 2

36°,72°,108° and 144°

Step-by-step explanation:

Let the ratio of their angle be x.

Then,the angles are as follow:

2x,4x,6x and 8x

As,we know,

2x+4x+6x+8x = 360°

[Sum of all angles of quadrilateral is 360°]

20x = 360°

x = 360/20

x = 18°

Then,the angles are

2x = 2×18 = 36°

4x = 4×18 = 72°

6x = 6×18 = 108°

8x = 8×18 = 144°