What is the sum for all of the interior angles of a polygon

The video tutorial explains how to determine the measure of one exterior angle in regular polygons. It covers the progression from triangles to circles, emphasizing that as the number of sides increases, the shape approaches a circle. The tutorial highlights the sum of interior and exterior angles, showing that the sum of exterior angles in any polygon is 360 degrees. It provides a method to calculate individual exterior angles by dividing 360 by the number of sides. The video concludes with a focus on understanding the formula for exterior angles.

What is the key characteristic of regular polygons discussed in the introduction?

• They are always triangles.

• They have different side lengths.

• All sides and angles are equal.

• They have curved sides.

As the number of sides in a polygon increases, what shape does it approach?

• A circle

• A triangle

• A rectangle

• A square

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

• 360 degrees

• 720 degrees

• 180 degrees

• 540 degrees

For a square, what is the measure of each exterior angle?

• 60 degrees

• 90 degrees

• 120 degrees

• 45 degrees

How do you find the measure of one exterior angle in a regular polygon?

• Multiply 360 by the number of sides

• Divide 360 by the number of sides

• Add 360 to the number of sides

• Subtract the number of sides from 360

If a regular polygon has 8 sides, what is the measure of one exterior angle?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

What is the relationship between the number of sides and the number of exterior angles in a polygon?

• They are unrelated.

• The number of exterior angles is always one less than the number of sides.

• They are always equal.

• The number of sides is double the number of exterior angles.