A regular hexagon has interior angles of what measure?

Master the Praxis Mathematics (5165) Test. Enhance your skills with flashcards and practice questions, each with detailed explanations. Ace your exam confidently!

Multiple Choice

A regular hexagon has interior angles of what measure?

Explanation:
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.

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