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In a regular hexagon, what is the measure of each interior angle?

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Question: In a regular hexagon, what is the measure of each interior angle?

Options:

  1. 120 degrees
  2. 90 degrees
  3. 150 degrees
  4. 60 degrees

Correct Answer: 120 degrees

Solution: 

The measure of each interior angle in a regular hexagon can be calculated using the formula (n-2) * 180/n, which gives (6-2) * 180/6 = 120 degrees.

In a regular hexagon, what is the measure of each interior angle?

Practice Questions

Q1
In a regular hexagon, what is the measure of each interior angle?
  1. 120 degrees
  2. 90 degrees
  3. 150 degrees
  4. 60 degrees

Questions & Step-by-Step Solutions

In a regular hexagon, what is the measure of each interior angle?
  • Step 1: Identify that a regular hexagon has 6 sides (n = 6).
  • Step 2: Use the formula for calculating the measure of each interior angle: (n - 2) * 180 / n.
  • Step 3: Substitute the number of sides into the formula: (6 - 2) * 180 / 6.
  • Step 4: Calculate (6 - 2) which equals 4.
  • Step 5: Multiply 4 by 180 to get 720.
  • Step 6: Divide 720 by 6 to find the measure of each interior angle: 720 / 6 = 120 degrees.
  • Interior Angles of Polygons – Understanding how to calculate the measure of interior angles in regular polygons using the formula (n-2) * 180/n.
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