The measure of each angle

Question:

The measure of each angle of a regular pentagon is __________.

Solution:

The measure of each angle of a regular pentagon is 108.

We know that, the sum of all the angles of a polygon is (n – 2) × 180o.

Where ‘n’ is the number of sides in the polygon,

Then, pentagon has 5 sides, i.e. n = 5

So, (n – 2) × 180o

(5 – 2) × 180o

3 × 180o

540o

Measure of each angle = 540o/5 = 108o

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