Top

Discussion

What is the ratio of the interior angle to the exterior angle of a regular pentagon?

  • A.2:3
  • B.3:2
  • C.4:1
  • D.3:1

Answer: B

For a regular pentagon, n=5.

The measure of each exterior angle = \(360°/n = 360°/5 = 72°\).

The measure of each interior angle = \(180° - 72° = 108°\).

The ratio of interior angle to exterior angle is 108:72. Dividing both by 36 gives the ratio 3:2.

No comment is present. Be the first to comment.
Loading…

Post your comment