Exploring Angles in Polygons

The video tutorial reviews the properties of polygons, focusing on the calculation of interior and exterior angles. It explains the characteristics of convex polygons and how to determine the sum of angles based on the number of sides. The tutorial also covers regular polygons and provides example problems to illustrate the concepts discussed.

What defines a polygon?

• A shape with curved sides

• A closed figure with straight, non-intersecting sides

• An open figure with any type of sides

• A figure with at least one intersecting side

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

• n * 180

• 2n * 180

• (n+2) * 180

• (n-2) * 180

For a seven-sided polygon, what is the sum of its interior angles?

• 1260 degrees

• 900 degrees

• 720 degrees

• 1080 degrees

How is the sum of exterior angles in any polygon?

• 720 degrees

• 180 degrees

• 360 degrees

• 540 degrees

What would be the measure of each interior angle in a regular seven-sided polygon?

• 150.00 degrees

• 128.57 degrees

• 135.00 degrees

• 140.25 degrees

How many sides does a regular polygon have if each exterior angle is 51.4 degrees?

• 6

• 5

• 8

• 7

If a five-sided figure has angles described by x, 2x, and 3x, what is the sum of its interior angles?

• 360 degrees

• 540 degrees

• 720 degrees

• 900 degrees

In a calculation involving a five-sided figure, if the sum of expressions involving x equals 540, what is x?

• 44.83

• 55.00

• 50.00

• 45.00

What is the value of x when the exterior angle expressions sum up to 360 degrees?

• 29.00

• 30.08

• 35.00

• 40.00

What is the sum of the interior angles of an octagon?

• 1440 degrees

• 1080 degrees

• 900 degrees

• 1260 degrees