Multiple choice

The number of sides of a regular polygon with interior angle 162° will be ______.

  1. 18

  2. 20

  3. 25

  4. 24
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The interior angle of a regular polygon is given by (n-2)*180/n = 162. 180n - 360 = 162n, so 18n = 360, n = 20.

AI explanation

To find the number of sides of a regular polygon from a given interior angle, first calculate the exterior angle by subtracting the interior angle from 180 degrees, which gives 180 minus 162, or 18 degrees. The number of sides equals 360 degrees divided by this exterior angle. Dividing 360 by 18 yields 20 sides.

Keep practicing — related questions