Question 11 • Mathematical Models with Applications - MA4072 CR
A regular decagon has interior angles of (10 − 2) × 180° ÷ 10 = 144°. For regular polygons to tessellate by themselves, a whole number of angles must fit around each vertex, so the interior angle must divide 360° evenly. Since 360° ÷ 144° = 2.5, regular decagons do not tessellate the plane. The correct choice is “no; measure of interior angle = 144°.”
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