Angles - Grade 8

Joe’s new swimming pool is in the shape of a Pentagon such as the shape on the left. What is the value of each interior angle in this shape?
a. 108
b. 128
c. 148
d. 168

Answer: a

Explanation:
A Pentagon is a Polygon with five sides. This also means that it has five equal angles.
The formula used to find the sum of all the interior angles in any Polygon is as follows:
180 ( n-2) where n represents the number of angles in the polygon.
In this problem n will equal 5. Lets apply the formula to find the sum of all the interior angles:
180 (5-2) = 540
Since we have 5 angles, we can find the value of each angle by dividing as follows:
540 / 5 = 108 degrees is each interior angle in a Pentagon.

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