ACT Math · Angles and polygons
What is the measure of one interior angle of a regular decagon (10 sides)?
What is the measure of one interior angle of a regular decagon (10 sides)?
Answer and explanation
Answer: C: 144°
The sum of the interior angles of a decagon is . In a regular decagon all angles are equal, so each is , choice C. Check using exterior angles: each exterior angle is , and . Choice B () is the interior angle of a regular nonagon. Choice A () is the interior angle of a regular hexagon. Choice D () is the interior angle of a regular polygon with sides.
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