Exploring Interior and Exterior Angles of Polygons

This video tutorial covers the concepts of interior and exterior angles in polygons. It reviews formulas for calculating the sum of angles and provides examples for various polygons, including pentagons, octagons, and hexagons. The tutorial also explains how to determine the number of sides in a polygon based on angle sums and solve problems involving missing angles.

What is the formula to calculate the sum of interior angles of a polygon?

• S = (number of sides / 2) x 180

• S = (number of sides x 2) - 180

• S = (number of sides + 2) x 180

• S = (number of sides - 2) x 180

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

• Subtract 180 from the sum of all angles and divide by the number of sides

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

• Multiply the number of sides by 180 and then divide by 2

• Add 360 to the number of sides and divide by 180

What is the sum of exterior angles of any polygon?

• The number of sides times 180

• 360 degrees

• The number of sides minus 360

• 180 degrees

What is the sum of the interior angles of a pentagon?

• 720 degrees

• 360 degrees

• 180 degrees

• 540 degrees

What is the sum of each interior angle of a regular octagon?

• 135 degrees

• 145 degrees

• 125 degrees

• 115 degrees

If a hexagon has five angles measuring 119, 129, 130, 104, and 104 degrees, what is the measure of the sixth angle?

• 124 degrees

• 154 degrees

• 144 degrees

• 134 degrees

A polygon has an interior angle sum of 1620 degrees. How many sides does it have?

• 11 sides

• 10 sides

• 12 sides

• 9 sides

How many sides does a polygon have if one interior angle measures 108 degrees and it is regular?

• 8 sides

• 5 sides

• 15 sides

• 10 sides

What is the measure of each exterior angle of a regular 20-sided polygon?

• 24 degrees

• 20 degrees

• 22 degrees

• 18 degrees

If the exterior angle of a regular polygon measures 9 degrees, how many sides does the polygon have?

• 40 sides

• 50 sides

• 30 sides

• 20 sides