SAT Lines, angles, and triangles Practice Question 9 (Medium)

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Question bank / Lines, angles, and triangles

Math · Geometry and TrigonometryMedium

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

$60^\circ$

$108^\circ$

$120^\circ$

$135^\circ$

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Answer: C

The interior angles of an $n$ -sided polygon sum to $(n - 2) \cdot 180^\circ$ . For a hexagon, that's $4 \cdot 180^\circ = 720^\circ$ . A regular hexagon has $6$ congruent angles, so each measures $\frac{720^\circ}{6} = 120^\circ$ .

Choice A is the measure of each exterior angle of a regular hexagon ( $\frac{360^\circ}{6}$ ).

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