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Chapter 10: Problem 28

Find the sum of the measures of the angles of a heptagon.

Short Answer

Expert verified
The sum of the measures of the angles of a heptagon is 900 degrees.

Step by step solution

01

Identify the number of sides in the polygon

In this case, a heptagon is a seven-sided polygon, so it has 7 sides. Therefore, \( n = 7 \).
02

Insert \( n \) into the formula

Now we need to substitute the identified value of \( n \) into the formula to find the sum of the angles of the polygon. The formula is \( (n - 2) \times 180^\circ \). So we have \( (7 - 2) \times 180^\circ = 5 \times 180^\circ \).
03

Solve for the sum of the interior angles

Now we just need to multiply out this equation to find the sum of the interior angles of the heptagon. So, the total is \( 5 \times 180^\circ = 900^\circ \).

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