Definition Of Pentagon

Pentagon is a polygon with five sides.

Examples of Pentagon

The figure below shows an pentagon. All its sides do not measure the same.

        

The figure below shows a regular pentagon. All its sides measure the same.

        

Video Examples: How to Get the Lateral Area of a Pentagonal Pyramid : Math Lessons

Solved Example on Pentagon

Ques: What is the measure of each angle of a regular pentagon?

Choices:

A. 106°
B. 110°
C. 108°
D. 100°
Correct Answer: C

Solution:

Step 1: The measure of each angle of a regular polygon = , where n is the number of sides of the polygon.
Step 2: The measure of each angle of a regular pentagon =  = 108°. [Substitute n = 5.]
Step 3: The measure of each angle of a regular pentagon is 108°.

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