Geomertry 3 Determine the individual measure of interior and exterior angles for a octagon

The video tutorial explains how to determine the measure of individual interior and exterior angles in regular polygons, specifically focusing on a regular octagon. It begins by discussing the sum of exterior angles, which is always 360 degrees, and demonstrates how to calculate the measure of each exterior angle by dividing the sum by the number of sides. The tutorial then shifts to interior angles, explaining the formula for their sum, which is (n-2) * 180 degrees, and shows how to find the measure of each interior angle by dividing the sum by the number of sides. The key takeaway is that for regular polygons, the sum of angles is divided by the number of sides to find individual angles.

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

• 180 degrees

• 720 degrees

• 360 degrees

• 540 degrees

How do you calculate the measure of an individual exterior angle in a regular polygon?

• Add 360 to the number of sides

• Divide 360 by the number of sides

• Subtract 180 from the number of sides

• Multiply the number of sides by 180

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

• n / 360

• (n + 2) * 180

• n * 360

• (n - 2) * 180

For a regular octagon, what is the measure of each interior angle?

• 90 degrees

• 120 degrees

• 135 degrees

• 150 degrees

What must be true about a polygon to use the method of dividing the sum of angles by the number of sides?

• It must have more than 10 sides

• It must be regular

• It must be a triangle

• It must be irregular