Polygon Angles and Properties

This video tutorial covers the study guide for unit 8, focusing on polygons and their properties. It explains how to calculate the sum of interior and exterior angles, solve for unknowns in polygons, and understand the properties of parallelograms, rectangles, and rhombuses. The tutorial includes step-by-step examples and encourages students to practice problems independently before reviewing the solutions.

What is the formula for the sum of the interior angles of a polygon?

• s = n / 2 * 180

• s = n * 180

• s = n - 2 * 180

• s = n + 2 * 180

How do you calculate the measure of each interior angle of a regular polygon?

• n * 180 / (n - 2)

• (n + 2) * 180 / n

• n / (n - 2) * 180

• (n - 2) * 180 / n

What is the sum of the interior angles of a 35-sided polygon?

• 5940

• 6300

• 540

• 6120

If the sum of the interior angles of a polygon is 3780, how many sides does it have?

• 24

• 21

• 22

• 23

What is the measure of each interior angle of a regular 18-sided polygon?

• 140

• 150

• 160

• 170

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

• 180

• 450

• 270

• 360

If the exterior angle of a polygon measures 24 degrees, how many sides does it have?

• 12

• 15

• 18

• 20

In a regular polygon, if the interior angle is 162 degrees, how many sides does it have?

• 22

• 20

• 24

• 18

What is the measure of angle x in a regular polygon with 5 sides?

• 120

• 108

• 72

• 144

In a parallelogram, if one angle is 55 degrees, what is the measure of its consecutive angle?

• 125

• 135

• 145

• 155