Question

The diagram shows part of a regular polygon. The sides of this polygon subtend angles of 20° at the centre of the polygon. How many sides does the polygon have?

Answer 1

360÷20 = 18sides

U divide 360 by 20 because angles at the center add up to 360°

Answer 2

The given polygon will have 18 sides in total.

Given information:

The diagram shows part of a regular polygon.

The sides of this polygon subtend angles of 20° at the center of the polygon.

Let the polygon has n number of sides.

Now, the polygon is regular. So, its each side will be equal and it will make equal angle with the center.

The sum of angles made by all the sides will be equal to 360 degrees.

So, the number of sides n can be calculated as,

$20\times n=360\\n=\dfrac{360}{20}\\n=18$

Therefore, the given polygon will have 18 sides in total.

For more details, refer to the link:

https://brainly.com/question/22831826