How to determine the number of sides when given one exterior angle ex 1

The video tutorial explains how to determine the number of sides of a regular polygon when given one exterior angle. It covers the relationship between exterior and interior angles, using equations to find the interior angle, and solving for the number of sides. An example with a hexagon is used to illustrate the concept of linear pairs and supplementary angles. The tutorial concludes by verifying the solution with an equilateral triangle, demonstrating the process of using given angles to determine the number of sides.

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

• They are complementary.

• They are equal.

• They are unrelated.

• They are supplementary.

If an exterior angle of a regular polygon is 120 degrees, what is the measure of the corresponding interior angle?

• 60 degrees

• 120 degrees

• 90 degrees

• 150 degrees

Why does a hexagon not work when the exterior angle is 120 degrees?

• Because 120 degrees is an acute angle and 60 degrees is obtuse.

• Because the sum of angles does not match.

• Because 60 degrees is an acute angle.

• Because 120 degrees is an obtuse angle.

What is the first step in solving for the number of sides of a polygon when given an exterior angle?

• Multiply the exterior angle by the number of sides.

• Find the interior angle using the exterior angle.

• Add the exterior angle to the interior angle.

• Divide the exterior angle by the number of sides.

What is the final number of sides for a polygon with an exterior angle of 120 degrees?

• 6 sides

• 3 sides

• 5 sides

• 4 sides