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This problem trains for: SAT-I, AMC-8, GMAT.

The side of a regular heptagon (seven sides) is extended outside the figure and, from a point on the extended part, a perpendicular onto an adjacent side is drawn. Find the approximate measure of the angle .

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The angle is the complement of the exterior angle (in the figure, angle ) of a regular heptagon.

figure

Since the sum of the exterior angles of a convex polygon is 360°, therefore is:

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