Understanding Interior and Exterior Angles in Polygons

The video tutorial explains how to calculate the sum of interior angles in polygons using the formula (n-2) * 180, where n is the number of sides. It demonstrates solving for a missing interior angle in a polygon and calculating the interior angle of a regular polygon. The tutorial also covers the concept of exterior angles, showing that they sum up to 360 degrees in any polygon. The video concludes with a summary and encourages viewers to explore more math tutorials.

What is the formula used to find the sum of the interior angles of a polygon?

• n * 180

• n - 2 * 180

• n + 2 * 180

• n / 2 * 180

If a polygon has 5 sides, what is the sum of its interior angles?

• 900 degrees

• 360 degrees

• 540 degrees

• 720 degrees

Given the angles 91, 120, 80, and 93 degrees in a pentagon, what is the measure of the missing angle?

• 156 degrees

• 166 degrees

• 176 degrees

• 146 degrees

What does it mean when a polygon is described as 'regular'?

• All angles are different

• All sides are different lengths

• It has an odd number of sides

• All angles and sides are the same

How many sides does a 14-gon have?

• 12

• 13

• 15

• 14

What is the sum of the interior angles of a regular 14-gon?

• 1,800 degrees

• 2,880 degrees

• 2,160 degrees

• 2,520 degrees

What is the measure of one interior angle in a regular 14-gon?

• 156.32 degrees

• 154.32 degrees

• 152.32 degrees

• 150.32 degrees

What is the formula to find the measure of an exterior angle of a polygon?

• 180 / n

• n / 180

• n / 360

• 360 / n

What is the measure of an exterior angle in a regular 14-gon?

• 20.7 degrees

• 22.7 degrees

• 25.7 degrees

• 24.7 degrees

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

• They are supplementary

• They add up to 180 degrees

• They are equal

• They add up to 90 degrees