A regular polygon first maps directly onto itself after rotating 20 degrees. How many sides does the polygon have? 12 18 Save and Exit Next Submit Mark this and return

Question

asked Jan 25, 2020 125k views

2 Answers

Misiakw · Answer 1 · 2020-02-01T11:39:30+0000

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:

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

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

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

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

RESULT:

Hence the number of sides the polygon has =18