To find:To investigate the properties of polygons.
Answer to Problem 37PPS
A: Polygons have been drawn.
B: Measurement of the
C: Relationship from Inductive Reasoning.
D: Inductive reasoning.
E:
Explanation of Solution
Given:Graph of possible polygons.
A: Polygons have been drawn.
b:
Number of sides | Angle Measure | Sum of Angles | |||
3 | |||||
4 | |||||
5 | |||||
c: As per inductive reasoning , since the sum of angles are all multiples of 180 so by relating this the total number of sides . So now it can be conjectured that the sum of the angles of the polygons is equal to 180 times and 2 less than the total numbers of the sides of polygon.
d: Inductive reasoning was used here.
e: Algebraic expression for the sum of measures of angles for a polygon with
Chapter 5 Solutions
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