Question

Find the measure of one interior angle in each regular polygon. Round your answer to the nearest tenth if necessary.

regular 15-gon

Question 15 options:

160


156


157.5


150

Answer 1

To find the measure of one interior angle in a regular polygon, you can use the formula:

\[
\text{Interior Angle} = \frac{(n - 2) \times 180}{n}
\]

where \( n \) is the number of sides in the polygon.

For a regular 15-gon (\( n = 15 \)):

\[
\text{Interior Angle} = \frac{(15 - 2) \times 180}{15} = \frac{13 \times 180}{15}
\]

Calculating that gives:

\[
\text{Interior Angle} = \frac{2340}{15} = 156
\]

So the measure of one interior angle in a regular 15-gon is **156 degrees**.

The correct option is: **156**.