Where does the exterior angle theorem come from

The video tutorial explains how to calculate the sum of exterior angles in different polygons, including squares, triangles, and octagons. It begins with a discussion on the properties of exterior angles and their relationship with interior angles, emphasizing the concept of supplementary angles. The tutorial demonstrates calculations for a square and an equilateral triangle, showing that the sum of exterior angles is always 360 degrees. It concludes with a detailed example of an octagon, reinforcing the consistent sum of exterior angles across polygons.

What is the sum of the exterior angles of a square?

• 270 degrees

• 450 degrees

• 180 degrees

• 360 degrees

In a square, what is the relationship between an interior angle and its corresponding exterior angle?

• They are congruent

• They are supplementary

• They are complementary

• They are equal

What is the measure of each exterior angle in an equilateral triangle?

• 90 degrees

• 150 degrees

• 60 degrees

• 120 degrees

Why do the interior and exterior angles of a triangle add up to 180 degrees?

• They are congruent

• They are complementary

• They form a linear pair

• They form a right angle

How many sides does an octagon have?

• 6

• 7

• 8

• 9

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

• 720 degrees

• 900 degrees

• 1260 degrees

• 1080 degrees

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

• 360 degrees

• 270 degrees

• 450 degrees

• 180 degrees