Answered: In the table below, fill in the…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter8: Polynomials

Section8.4: Special Products

Problem 55PPS

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Related questions

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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