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Regular Exterior Angles

Part of the Polygons & Quadrilaterals section of Coddy's Geometry journey. Lesson 13 of 61.

In a regular polygon the exterior angles are all equal too, so the full turn is shared equally: each exterior angle of a regular polygon with n sides is 360 ÷ n.

A regular hexagon with every side extended and six equal exterior angles

A regular hexagon turns through 360° in six equal turns: 360 / 6 = 60 degrees each. Its interior angle is then 180 - 60 = 120 degrees, the same answer the angle sum gave. On the board, the equal arcs together with Exterior angles of a polygon fix each exterior angle.

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Challenge

ABCDE is a regular pentagon with every side extended. All five exterior angles carry the same arc. Find the exterior angle marked ?, then press Check.

Try it yourself

Find the marked part of the figure

Find the marked part of the figure

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This lesson includes a short quiz. Start the lesson to answer it and track your progress.

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