Question

If the four angles of a quadrilateral are in the ratio 2:6:10:2, then the measure of each of its angle is

Answer 1

Step-by-step explanation:

The four angles of quadrilateral are = 2:6:10:2

Let each angle be 2x , 6x, 10x and 2x.

Then,

We know that sum of a quadrilateral is 360°.

2x + 6x + 10x + 2x = 360°

20x = 360°

x = 360/20

x = 18°

Now, 2x = 2×18= 36°

6x = 6×18=68°

10x=10×18=180°

2x = 2×18=36°

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