What is the measure of each interior angle of a regular hexagon?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the measure of each interior angle of a regular hexagon?
  • Step 1: Identify the shape you are working with. In this case, it is a hexagon, which has 6 sides.
  • Step 2: Use the formula for finding the measure of each interior angle of a regular polygon: (n-2) × 180/n.
  • Step 3: Substitute the number of sides (n) into the formula. For a hexagon, n = 6.
  • Step 4: Calculate (6-2) which equals 4.
  • Step 5: Multiply 4 by 180, which equals 720.
  • Step 6: Divide 720 by the number of sides (6) to find the measure of each angle: 720/6 = 120.
  • Step 7: Conclude that each interior angle of a regular hexagon measures 120 degrees.
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