Question

If an exterior angle of a regular polygon is one fifth if its interior angle .How many sides does the polygon have?

Answer 1

Answer:

Step-by-step explanation:

Let the exterior angle be x

Then the interior angle will be 5x

We know that the sum of the exterior and interior angle is 180°

So,

x+5x=180

6x=180

x=30 -1

Interior angle is

5x -2

Substituting 1 in 2

5*30=150°

For sides of the polygon,

int angle/ext angle

150/30=5

Therefore there are 5 sides in this polygon......

Hope it helps

Mark as brainallist

Answer 2

Answer:

Step-by-step explanation:sides is 12