Exploring the Polygon Exterior Angle Sum Theorem

The video tutorial covers the polygon exterior angle sum theorem, explaining that the sum of exterior angles of any polygon is always 360 degrees. It demonstrates how to calculate the measure of one exterior angle using a step-by-step approach, including examples with different polygons. The tutorial also covers rounding techniques for more complex calculations.

What is the sum of the exterior angles of any polygon?

• 540 degrees

• 720 degrees

• 360 degrees

• 180 degrees

If you change the shape of a polygon, what happens to the sum of its exterior angles?

• It changes based on the shape

• It remains 360 degrees

• It doubles

• It becomes zero

What is the first step in finding the measure of one exterior angle of a polygon?

• Find the number of sides

• Divide the sum of interior angles by the number of sides

• Subtract the interior angle from 180 degrees

• Calculate the sum of interior angles

For a 10-sided polygon, what is the sum of its interior angles?

• 1080 degrees

• 1620 degrees

• 1260 degrees

• 1440 degrees

How do you find the measure of one interior angle of a polygon?

• Add the number of sides to 180

• Multiply the number of sides by 180

• Divide the sum of interior angles by the number of sides

• Subtract the number of sides from 180

What is the measure of one exterior angle of a 10-sided polygon?

• 36 degrees

• 72 degrees

• 108 degrees

• 144 degrees

For a 5-sided polygon, what is the sum of its interior angles?

• 360 degrees

• 540 degrees

• 900 degrees

• 720 degrees

What is the measure of one exterior angle of a 24-sided polygon?

• 15 degrees

• 12 degrees

• 7.5 degrees

• 18 degrees

When rounding to the nearest tenth, what do you do if the digit to the right of the tenth place is 5 or greater?

• Keep the same

• Round down

• Round up

• Ignore the digit

What is the measure of one exterior angle of an 11-sided polygon rounded to the nearest tenth?

• 14.7 degrees

• 36.3 degrees

• 27.3 degrees

• 32.7 degrees