Exterior Angle of a Polygon

Exterior Angle of a Polygon

Angle formed by one side of a convex polygon and the extension of an adjacent side.

An angle inside a polygon that is not adjacent to an exterior angle is called a remote interior angle.

Example

In the figure below, angle BDE is an exterior angle of polygon ABCD. It is formed by side BD and the extension of side CD.

Properties

  • The sum of the degree measures of the exterior angles of a convex polygon is always equal to 360°.
  • The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles of the triangle.angles_eloignes

    In the figure shown above, the measure of the exterior angle at vertex C is equal to the sum of the measures of the remote interior angles at vertices A and B.

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