7.2 Interior and Exterior Angles (Due 4/16/24)

Last updated 12 months ago
22 questions

Essential Question: How can we determine the angles of polygons given the number of sides?



Learning Target: Students will be able to calculate the interior and exterior angles of a polygon given the number of sides.




Complete the entire document and show all work for full credit.

Polygon Review

Required
30

Match each missing angle measure to the correct triangle.

Draggable itemCorresponding Item
x=76
x=23
x=65
x=81
x=146
x=24
Required
15
Find each missing angle measures.

m<1=_______
m<2=_______
m<3=_______
Required
10

Find the value of x.

Required
10

Find the value of x.


Interior and Exterior Angles of Polygons

Required
10

Use one corner only and connect it to another corner to form a triangle. How many triangles can you form?

Required
5

What determines the sum of the measure of the interior angles of a polygon?

Required
10

Match the number of triangles formed inside each regular polygon.

Draggable itemCorresponding Item
15
decagon
octagon
2
pentagon
3
17-gon
4
quadrilateral
1
triangle
8
circle
6
hexagon
Required
10

Match the sum of interior angles with the correct regular polygon.

Draggable itemCorresponding Item
800
decagon
180
octagon
1080
pentagon
720
17-gon
540
quadrilateral
1440
triangle
360
not a polygon
2700
hexagon
Required
10

What is difference between a polygon and a regular polygon?

Required
10

Find the value of x.

Required
3

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

Required
3

What is the formula to find one exterior angle of any polygon?

Required
10
Find w to find the measure of one exterior angle.

w=_______


Exterior Angles of Regular Polygons

Required
10
What is the sum of the measures of the exterior angles of a pentagon?
_______

What is the measure of one exterior angle of a pentagon?
_______

Required
10
What is the sum of the measures of the exterior angles of a nonagon?
_______

What is the measure of one exterior angle of a nonagon?
_______

Required
10
Find the value of x.

_______


Required
10
Find the value of x.

_______


Required
10
Find the value of x.

_______


Required
10
Find the value of x.

_______


Required
10
Find the value of y.

_______


Required
10
Find the value of x.

_______


Required
10
Find the value of x.

_______