If the interior angle of a regular polygon is k times its exterior angle, express the number of sides (n) of the polygon in terms of k.
Interior angle + Exterior angle = 180°, and interior = k × exterior, so exterior(k+1) = 180°, giving exterior = 180/(k+1). Number of sides n = 360/exterior = 360(k+1)/180 = 2(k+1) = 2k+2.
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Important Questions from Geometry
ABCDEF is a regular hexagon. Side of the hexagon is 36 cm. What is the area of the triangle AOB ?
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If ΔABC and ΔDEF are congruent triangles, then which of the following is FALSE?
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