G.10abc Exterior and Interior angles of a polygon Assessment

Exterior Angles

And some questions on interior angles too

Exterior Angles

Angle made when you extend a side of the polygon

Its the angle "outside the circle"

Property #1

The sum of all the exterior angles of ANY polygon is 360° 

  

Multiple Choice

What is the sum of all the exterior angles of an octagon?

• 8

• 360

• 40

• 100

Fill in the Blanks

Property #2

To find the measure of ONE exterior angle of a REGULAR POLYGON, divide 360 by the number of sides (n)

Regular Polygons

Definition

A regular polygon is a polygon where all the sides are the same AND all the angles are the same.

Example: Square​

Multiple Select

Select the shapes that are regular.

Formula

Regular Polygons

​Exterior Angles

Multiple Choice

What is the sum of the measure of the angles?

• 360

• 540

• 720

• 900

Multiple Choice

What would be the measure of each angle?

• 108

• 180

• 540

• 360

Fill in the Blanks

Solution

A hexagon has 6 sides:

360/6

answer:

x = 60

Multiple Choice

Solve for a.

• 90°

• 180°

• 270°

• 80°

Multiple Choice

What is the sum of exterior angles of a pentagon?

• 180

• 360

• 540

• 760

Multiple Choice

Five angles of a hexagon measure 119°, 129°, 104°, 149°, and 95°.  What is the measure of the sixth angle?

• 89

• 105

• 720

• 124

Multiple Choice

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

• S = (n-2)

• S = (n-2) 180

• S = 360 / n

• S = (n-2) 360

Multiple Choice

What is the name of a 7 sided polygon?

• hexagon

• heptagon

• octagon

• nonagon

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

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

• 60°

• 80°

• 108°

• 120°

Multiple Choice

What is the name of a 7 sided polygon?

• hexagon

• heptagon

• octagon

• nonagon

Multiple Choice

Find the measure of angle k.

• 9

• 97°

• 48°

• 79°

Multiple Choice

Find the measure of one exterior angle of a regular 18-gon.

• 160°

• 360°

• 20°

• 2280°

Multiple Choice

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

• 10

• 3

• 7

• 11

Multiple Choice

Find the value of X.

• 60

• 120

• 85

• 55

Multiple Choice

What is the name of a regular polygon that has an exterior angle measure 60 degrees?

• Triangles

• Pentagon

• Hexagon

• Heptagon