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Calculate the sum of the interior angles of a pentagon.

Sagot :

GinnyAnswer
Sure, let's work through this step-by-step:

1. Identify the number of sides of the polygon: A pentagon is a polygon with 5 sides.

2. Understand the formula for the sum of the interior angles: The formula to find the sum of the interior angles of a polygon is [tex]\((n - 2) \times 180^\circ\)[/tex], where [tex]\(n\)[/tex] is the number of sides of the polygon.

3. Substitute the number of sides into the formula: For a pentagon, [tex]\(n\)[/tex] is 5.

4. Perform the calculation:
[tex]\[ (5 - 2) \times 180^\circ = 3 \times 180^\circ = 540^\circ \][/tex]

Therefore, the sum of the interior angles of a pentagon is [tex]\(540^\circ\)[/tex].
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