To find the measure of each interior angle of a regular pentagon, we can use a simple formula:
Interior Angle = (n – 2) × 180° / n
Where n is the number of sides of the polygon. For a pentagon, n = 5.
So, the calculation would be:
(5 – 2) × 180° / 5 = 3 × 180° / 5 = 540° / 5 = 108°.
Thus, each interior angle of a regular pentagon measures 108 degrees.
This means if you were to draw a perfect pentagon, each inside angle between the sides would be the same and equal to 108°. Understanding this helps in various applications, like design and architecture, where the shapes and angles matter significantly.