What is the sum of the interior angles of a pentagon?

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Question: What is the sum of the interior angles of a pentagon?

Options:

Correct Answer: 540°

Solution:

The sum of the interior angles of a polygon is given by (n-2) * 180°, where n is the number of sides. For a pentagon, n = 5, so (5-2) * 180° = 540°.

What is the sum of the interior angles of a pentagon?

What is the sum of the interior angles of a pentagon?

Step 1: Identify the shape you are working with. In this case, it is a pentagon, which has 5 sides.
Step 2: Use the formula to find the sum of the interior angles of a polygon. The formula is (n - 2) * 180°, where n is the number of sides.
Step 3: Substitute the number of sides (n = 5) into the formula: (5 - 2) * 180°.
Step 4: Calculate (5 - 2), which equals 3.
Step 5: Multiply 3 by 180°: 3 * 180° = 540°.
Step 6: Conclude that the sum of the interior angles of a pentagon is 540°.

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