Question

The diagram shows 2 congruent regular polygons joined together. Work out the number of sides of each polygon. The exterior angles equal to 72°.

Answer 1

Answer: There are five sides in a polygon.

Step-by-step explanation:

Since we have given that

Measure of exterior angles = 72°

We need to find the number of sides of  polygon.

As we know the formula for "Number of sides of polygon".

Number of sides is given by

$\frac{360^\circ}{72^\circ}\\\\=5$

Hence, there are five sides in a polygon.

Answer 2

Answer:

10 sides

Step-by-step explanation:

Measure of exterior angles = 72°

360 - 72 = 288

288 / 2 = 144˚ each angle

the polygon is a decagon  

10 sides