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MA.912.G.2.2 Interior and Exterior Angles of Polygons

What you Need To Know...

Determine the measures of interior and exterior angles of polygons, justifying the method used.

  1. The benchmark will be assessed using MC (Multiple choice) and FR (Fill in Response) items.
  2. Items may be set in either real-world or mathematical contexts.

Example One

A regular hexagon and a regular heptagon share one side, as shown in the diagram below.


Which of the following is closest to the measure of x, the angle formed by one side of the hexagon and one side of the heptagon?

A. 102.9°
B. 111.4°
C. 120.0°
D. 124.5°



Example Two

Claire is drawing a regular polygon. She has drawn two sides with an interior angle of 140°, as shown below.


When Claire completes the regular polygon, what should be the sum, in degrees, of the measures of the interior angles?

Answer grid.jpg


Additional Examples



Interior Angles

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Exterior Angles

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More with Polygon Angles

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Reference Sheet