determine the sum of the measures of the interior angles of a decagon. a 1440 degrees b 1620 degrees c 1800 degrees d 2160 degrees

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Accepted Answer

# Explanation:
## Step1: Recall the formula for the sum of interior angles
The formula for the sum of interior angles of a polygon is $S=(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.
## Step2: Identify the number of sides of a decagon
A decagon has $n = 10$ sides.
## Step3: Substitute $n = 10$ into the formula
$$
\begin{align*}
S&=(10 - 2)\times180^{\circ}\
&=8\times180^{\circ}\
&=1440^{\circ}
\end{align*}
$$

# Answer:
A. 1440 degrees

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Question

Explanation:

Step1: Recall the formula for the sum of interior angles

Step2: Identify the number of sides of a decagon

Step3: Substitute \(n = 10\) into the formula

Answer: