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, and the final calculation is verified with a triangle.

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

• They are supplementary.

• They are unrelated.

• They are complementary.

• They are equal.

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

• 60 degrees

• 120 degrees

• 180 degrees

• 90 degrees

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

• Because the interior angle would be obtuse, which is incorrect.

• Because 120 degrees is an obtuse angle.

• Because 60 degrees is an acute angle.

• Because the angles do not add up to 180 degrees.

What is the formula used to find the number of sides of a polygon given an interior angle?

• Interior angle = 180 - exterior angle

• Interior angle = 360 / n

• Interior angle = n * 180 / (n - 2)

• Interior angle = (n - 2) * 180 / n

What is the number of sides of a polygon if the exterior angle is 120 degrees?

• 4

• 6

• 5

• 3