Angles of Polygons

Angles of Polygons

Where we left off yesterday

What is an Exterior Angle?

• Watch the video below to understand what an exterior angle is...

• https://www.brightstorm.com/math/geometry/polygons/exterior-angles-of-a-polygon/?jwsource=cl

• Use this knowledge to complete the row in the table titled "each exterior angle measure (regular polygon)

What is the sum of the exterior angles?

• Use the information you learned from the last page to complete the row in the chart for the sum of the exterior angles.

• What do you notice about the sum of the exterior angles no matter the number of sides of the polygon?

Multiple Choice

What is the SUM of the exterior angles of a 20-gon?

• 180

• 360

• 3240

• 162

Multiple Choice

Find the value of y.

• 125
• 135
• 140
• 110

Multiple Choice

Find the value of X

• 94
• 25
• 36
• 180

Multiple Choice

Find the angle SUM of the interior angles of the polygon.

• 180°

• 540°

• 720°

• 1080°

Multiple Choice

What is the SUM of the angle measures in a nonagon (9 sides)?

• 1440°
• 900°
• 1080°
• 1260°

Multiple Choice

Solve for x

• 45
• 12
• 90
• 2

Multiple Choice

The sum of the interior angles of a polygon is 1620°.  How many sides does the polygon have?

• 8
• 11
• 3
• 16

Multiple Choice

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

• 135
• 180
• 145
• 190

Multiple Choice

What is the formula for the sum of the interior?

• S=360
• S=(n-2)180
• n=360/ext. angle
• 1 int. angle + 1 ext. angle=180

Multiple Choice

What is the measure of ONE interior angle in a regular hexagon (6 sides)?

• 60°
• 80°
• 108°
• 120°

Multiple Choice

Find the value of X.

• 100
• 120
• 125
• 130