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In the table below, fill in the information from your polygons above. There are additional rows for you tocomplete more, if you would like. The first two rows have been completed as an example.Polygon Number of Sides Number of Triangles Add the Sums of allTrianglesTriangle 3 sides 1 triangle 180Quadrilateral 4 sides 2 triangles 180+180=360Pentagon 5 sidesPolygon of Choice 1. How are the number of sides related to the number of triangles in the interior of each polygon?Is this the same for every polygon?2. In Math classes, when we want to generalize something, we use a variable. Let n = number ofsides. Write an expression to show how the sides are related to the number of triangles.3. Now use your expression from #2 to write an equation that shows how to find the sum ofinterior angles for any polygon.sum of interior angles = Will you be able to find the measure of a single interior angle for a polygon if you have a formula for the sum of angles? Are there any limitations to this?

In the table below, fill in the information from your polygons above. There are additional rows for you tocomplete more, if you would like. The first two rows have been completed as an example.Polygon Number of Sides Number of Triangles Add the Sums of allTrianglesTriangle 3 sides 1 triangle 180Quadrilateral 4 sides 2 triangles 180+180=360Pentagon 5 sidesPolygon of Choice 1. How are the number of sides related to the number of triangles in the interior of each polygon?Is this the same for every polygon?2. In Math classes, when we want to generalize something, we use a variable. Let n = number ofsides. Write an expression to show how the sides are related to the number of triangles.3. Now use your expression from #2 to write an equation that shows how to find the sum ofinterior angles for any polygon.sum of interior angles = Will you be able to find the measure of a single interior angle for a polygon if you have a formula for the sum of angles? Are there any limitations to this?

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question
In the table below, fill in the information from your polygons above. There are additional rows for you to
complete more, if you would like. The first two rows have been completed as an example.
Polygon Number of Sides Number of Triangles Add the Sums of all
Triangles
Triangle 3 sides 1 triangle 180
Quadrilateral 4 sides 2 triangles 180+180=360
Pentagon 5 sides
Polygon of Choice
1. How are the number of sides related to the number of triangles in the interior of each polygon?
Is this the same for every polygon?
2. In Math classes, when we want to generalize something, we use a variable. Let n = number of
sides. Write an expression to show how the sides are related to the number of triangles.
3. Now use your expression from #2 to write an equation that shows how to find the sum of
interior angles for any polygon.
sum of interior angles =
Will you be able to find the measure of a single interior angle for a polygon if you have a formula for the sum of angles? Are there any limitations to this?
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