Interior and Exterior Angles of Polygons

What is an interior angle of a polygon?

• The total of all angles in the polygon

• The angle between a side and a diagonal only

• An angle formed outside the shape where two extended sides meet

• An angle located inside the polygon at a vertex

The interior angles of a triangle always add up to:

How many triangles can be formed inside a polygon with n sides to help calculate the sum of interior angles?

• n + 2

• n - 2

• 2n

• n/2

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What is the formula for the sum of the interior angles of an n-sided polygon?

• 360 − n

• (n+2)180

• n x 90

• (n - 2)180

For a regular pentagon (five equal interior angles), the video divides the sum of the angles by 5 to find each angle. What is each interior angle?

What do the exterior angles of any polygon add up to?

For a regular polygon, how can you find the number of sides if you know the measure of one exterior angle? (where E is the measure of one exterior angle)

• n = E / 360
• n = 360 / E
• n = 360 * E
• n = 180 / E