Given one exterior angle, learn how to find the number of sides of a polygon ex 2

The video tutorial explains how to determine the number of sides of a regular polygon given one exterior angle. It covers the relationship between exterior and interior angles, showing that they are supplementary and add up to 180 degrees. The tutorial then introduces a formula to calculate the number of sides using the interior angle. A step-by-step solution is provided, demonstrating how to solve for the number of sides, resulting in the conclusion that a polygon with an exterior angle of 45 degrees is an octagon.

What is the relationship between an exterior angle and an interior angle in a regular polygon?

• They are unrelated.

• They are complementary.

• They are supplementary.

• They are equal.

If the exterior angle of a regular polygon is 45 degrees, what is the measure of the interior angle?

• 90 degrees

• 135 degrees

• 180 degrees

• 45 degrees

Which formula is used to find the number of sides of a regular polygon when the interior angle is known?

• Exterior angle = 360 / n

• Interior angle = (n - 2) * 180 / n

• n = 360 / exterior angle

• Interior angle = 180 - exterior angle

What is the first step in solving for the number of sides of a polygon using the interior angle formula?

• Divide both sides by 180

• Subtract 180 from both sides

• Multiply both sides by n

• Add 180 to both sides

What is the number of sides of a polygon if the exterior angle is 45 degrees?

• 6

• 7

• 9

• 8