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

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Last updated about 1 year ago
22 questions
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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

Question 1
1.

Match each missing angle measure to the correct triangle.

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Question 2
2.
Find each missing angle measures.

m<1=_______
m<2=_______
m<3=_______
Question 3
3.

Find the value of x.

Question 4
4.

Find the value of x.


Interior and Exterior Angles of Polygons

Question 5
5.

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

Question 6
6.

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

Question 7
7.

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Question 8
8.

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Question 9
9.

What is difference between a polygon and a regular polygon?

Question 10
10.

Find the value of x.

Question 11
11.

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

Question 12
12.

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

Question 13
13.
Find w to find the measure of one exterior angle.

w=_______


Exterior Angles of Regular Polygons

Question 14
14.
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?
_______

Question 15
15.
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?
_______

Question 16
16.
Find the value of x.

_______


Question 17
17.
Find the value of x.

_______


Question 18
18.
Find the value of x.

_______


Question 19
19.
Find the value of x.

_______


Question 20
20.
Find the value of y.

_______


Question 21
21.
Find the value of x.

_______


Question 22
22.
Find the value of x.

_______


x=24
x=81
x=76
x=65
x=146
x=23
Match the number of triangles formed inside each regular polygon.
decagon
4
octagon
15
pentagon
6
17-gon
2
quadrilateral
1
triangle
8
circle
3
hexagon
Match the sum of interior angles with the correct regular polygon.
1440
decagon
540
octagon
800
pentagon
1080
17-gon
720
quadrilateral
360
triangle
180
not a polygon
2700
hexagon