A regular polygon first maps directly onto itself after rotating 20 degrees. How many sides does the polygon have?1218Save and ExitNextSubmitMark this and return
Accepted Solution
A:
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:
[tex]\text { The number of sides the polygon have }=\frac{\text { total angle }}{\text { angle rotated }}[/tex][tex]\text { We know that the total angle of polygon }=360^{\circ}[/tex]
[tex]\text { The number of sides the polygon have }=\frac{360^{\circ}}{20^{\circ}}[/tex]
[tex]\text { The number of sides the polygon have }=18\\[/tex]RESULT:Hence the number of sides the polygon has =18