Interior and Exterior Angles of Polygons

The video tutorial explains how to calculate the interior angle of a regular polygon. It begins by finding the exterior angle, which is the angle between a side of the polygon and a straight line. The exterior angle is calculated by dividing 360 by the number of sides. The interior angle is then found by subtracting the exterior angle from 180 degrees. An example with a regular pentagon is provided, demonstrating the calculation of its interior angles.

What is the first step in finding the interior angle of a regular polygon?

• Measure the angles

• Draw the polygon

• Count the number of sides

• Calculate the exterior angle

What is the exterior angle of a polygon?

• The angle between a side and a straight line

• The angle at the center of the polygon

• The angle between two adjacent sides

• The angle inside the polygon

How do you calculate the exterior angle of a regular polygon?

• 180 divided by the number of sides

• The sum of all exterior angles

• 360 divided by the number of sides

• The sum of all interior angles

What is the relationship between the exterior and interior angles of a polygon?

• They are complementary

• They are equal

• They add up to 90 degrees

• They add up to 180 degrees

If the exterior angle of a polygon is 72 degrees, what is the interior angle?

• 90 degrees

• 108 degrees

• 72 degrees

• 180 degrees

How many sides does a regular pentagon have?

• 7

• 6

• 5

• 4

What is the exterior angle of a regular pentagon?

• 108 degrees

• 72 degrees

• 60 degrees

• 90 degrees

What is the formula to find the interior angle once the exterior angle is known?

• The exterior angle divided by 2

• 180 minus the exterior angle

• The exterior angle plus 90

• 360 minus the exterior angle

What is the interior angle of a regular pentagon?

• 108 degrees

• 120 degrees

• 90 degrees

• 72 degrees

Why is it important to check the calculated interior angle against the diagram?

• To ensure it is an obtuse angle

• To ensure it is a right angle

• To ensure it is a straight angle

• To ensure it is an acute angle