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Question
The measure of each angle of a regular pentagon is ______.
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Solution
The measure of each angle of a regular pentagon is 108°.
Explanation:
We know that, the sum of interior angles of a polygon
= (n – 2) × 180°
= (5 – 2) × 180°
= 540°
Since, it is a regular pentagon ...[∵ In pentagon, number of sides, n = 5]
∴ Measure of each interior angle
= `"Sum of interior angles"/"Number of sides"`
= `540^circ/5`
= 108°
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