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

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Detailed Solution

The measure of each angle of a regular pentagon is

.
Since we know in a regular pentagon all the sides are equal in length, and five angles are of equal measures.
Here, n=5.
The sum of interior angles of regular pentagon:

= (n - 2) \times 180^{\circ}

= (5 - 2) \times 180^{\circ}

= 540^{\circ}

So, measure of each angle

= s u m o f int e r i o r a n g l e s n u m b e r o f s i d e s

= 540 ∘ 5 = 108 ∘

Hence, the measure of each angle of a regular pentagon is

108 °

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