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Laabri

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

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Last updated 4 months ago
22 Nsɛmmisa

Polygon Review

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30
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15
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10
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10

Interior and Exterior Angles of Polygons

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10
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10
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24
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24
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10
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10
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10
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10
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10

Exterior Angles of Regular Polygons

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10
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10
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10
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10
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10
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10
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10
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10
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10

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.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Match each missing angle measure to the correct triangle.

Draggable itemarrow_right_altCorresponding Item

x=65

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x=23

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x=146

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x=76

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x=81

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x=24

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Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Find each missing angle measures.

m<1=

m<2=

m<3=

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3.

Find the value of x.

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4.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

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

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6.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Match the number of triangles formed inside each regular polygon.

Draggable itemarrow_right_altCorresponding Item

6

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decagon

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octagon

15

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pentagon

1

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17-gon

4

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quadrilateral

8

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triangle

2

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circle

3

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hexagon

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

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

Draggable itemarrow_right_altCorresponding Item

720

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decagon

2700

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octagon

800

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pentagon

180

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17-gon

1080

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quadrilateral

1440

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triangle

360

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not a polygon

540

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hexagon

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

What is difference between a polygon and a regular polygon?

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Find w to find the measure of one exterior angle.

w=

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

Find the value of x.

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17.

Find the value of x.

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18.

Find the value of x.

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19.

Find the value of x.

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Find the value of y.

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21.

Find the value of x.

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22.

Find the value of x.