A regular hexagon has interior angles of what measure?

A regular hexagon has interior angles of what measure?

• A. 90
• B. 120
• C. 135
• D. 150

Answer: (B)

The main idea is how to find interior angles in a polygon. The sum of all interior angles of an n-sided polygon is (n − 2) × 180 degrees. For a hexagon, that’s (6 − 2) × 180 = 720 degrees in total. In a regular hexagon, all six interior angles are equal, so each one is 720 ÷ 6 = 120 degrees. You can also see this by exterior angles: each exterior angle is 360 ÷ 6 = 60 degrees, and the interior angle is 180 − 60 = 120 degrees. Therefore, each interior angle measures 120 degrees.

The main idea is how to find interior angles in a polygon. The sum of all interior angles of an n-sided polygon is (n − 2) × 180 degrees. For a hexagon, that’s (6 − 2) × 180 = 720 degrees in total. In a regular hexagon, all six interior angles are equal, so each one is 720 ÷ 6 = 120 degrees. You can also see this by exterior angles: each exterior angle is 360 ÷ 6 = 60 degrees, and the interior angle is 180 − 60 = 120 degrees. Therefore, each interior angle measures 120 degrees.