
(a)
To find: The measure of each interior
(a)

Answer to Problem 18WE
108 degrees
Explanation of Solution
Given information: Aregular pentagon.
Formula used:
The measure of an interior angle is:
Calculation:
The number of sides of a regular pentagon is 5. Thus, the value of n is 5.
Plug in the value in the formula,
The measure of each interior angle of a regular pentagon is 108 degrees
(b)
To analyze:If a floor can be tiled with tiles shaped like regular pentagon.
(b)

Answer to Problem 18WE
It is not possible to tile a floor with tiles shaped like regular pentagon
Explanation of Solution
Given information: Tiles shaped like regular pentagon.
Calculation: In a regular pentagon, all sides are the same and all interior angles are the same.
The measure of each interior angle of a pentagon is 108 degrees.
In tiling, we need the sum of angles around any vertex to be equal to 360 degrees.
As, 108 is not a divisor of 360, it is not possible to tile a floor with tiles shaped like regular pentagon.
Chapter 3 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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