How to determine the sum of interior angle of a polygon given one exterior angle ex

The video tutorial explains how to determine the sum of interior angles of a polygon by using the measure of an exterior angle. It highlights the relationship between the number of sides and exterior angles, emphasizing that the sum of exterior angles is always 360 degrees. By dividing 360 by the measure of an exterior angle, one can find the number of sides of the polygon. The tutorial also discusses rounding and approximation in calculations and how to use formulas to find the sum of interior angles.

What can be determined if one interior angle of a polygon is known?

• The number of sides

• The number of vertices

• The type of polygon

• The length of each side

What is the sum of all exterior angles of any polygon?

• 720 degrees

• 360 degrees

• 180 degrees

• 540 degrees

If the exterior angle of a regular polygon is 51.43 degrees, how many sides does the polygon have?

• 5

• 7

• 8

• 6

Why might the calculated number of sides be rounded up when using exterior angles?

• To simplify calculations

• To ensure even distribution of angles

• Due to approximate angle values

• To match the number of vertices

What is the sum of the interior angles of a polygon with 7 sides?

• 720 degrees

• 1080 degrees

• 840 degrees

• 900 degrees