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Interior and Exterior Angles #2

Directions: If n is equal to the number of sides on a regular polygon, what is the lowest value of n where each interior angle’s measure is less (or greater) than the exterior angle?

Hint

Hint

Can you make a model to demonstrate that?  How can you prove that you are correct?

Answer

Answer

If a regular quadrilateral (square with n=4) has the interior angle measure equal to the exterior angle measure, then increasing the number of sides (n > 4) will make the interior angles have a greater angle measure while decreasing the number of sides (n=3) will make the interior angles have a lesser angle measure.

Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz

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