Question

A regular polygon first maps directly onto itself after rotating 20 degrees. How many sides does the polygon have?

Answer 1

Answer:

A regular polygon first maps directly onto itself after rotating 20 degrees has 18 sides

Explanation:

Given:

Angle rotated=20 degrees

To find:

Number of sides the polygon has=?

Solution:

$\text { The number of sides the polygon have }=\frac{\text { total angle }}{\text { angle rotated }}$

$\text { We know that the total angle of polygon }=360^{\circ}$

$\text { The number of sides the polygon have }=\frac{360^{\circ}}{20^{\circ}}$

$\text { The number of sides the polygon have }=18$

RESULT:

Hence the number of sides the polygon has =18