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In a regular pentagon, what is the measure of each exterior angle? (2023)

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Question: In a regular pentagon, what is the measure of each exterior angle? (2023)

Options:

  1. 60 degrees
  2. 72 degrees
  3. 90 degrees
  4. 108 degrees

Correct Answer: 72 degrees

Exam Year: 2023

Solution: 

The measure of each exterior angle in a regular polygon is 360/n. For a pentagon (n=5), it is 360/5 = 72 degrees.

In a regular pentagon, what is the measure of each exterior angle? (2023)

Practice Questions

Q1
In a regular pentagon, what is the measure of each exterior angle? (2023)
  1. 60 degrees
  2. 72 degrees
  3. 90 degrees
  4. 108 degrees

Questions & Step-by-Step Solutions

In a regular pentagon, what is the measure of each exterior angle? (2023)
  • Step 1: Understand that a regular pentagon has 5 sides.
  • Step 2: Know the formula for finding the measure of each exterior angle in a regular polygon, which is 360 divided by the number of sides (n).
  • Step 3: For a pentagon, substitute n with 5 in the formula: 360/n.
  • Step 4: Calculate 360 divided by 5, which equals 72.
  • Step 5: Conclude that each exterior angle in a regular pentagon measures 72 degrees.
  • Exterior Angles of Polygons – The measure of each exterior angle in a regular polygon can be calculated using the formula 360/n, where n is the number of sides.
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