What is the sum of the interior angles of a 10-sided regular polygon?Question 10Select one:a.1,800°b.360°c.1,004°d.1,440°

Step 1: Break Down the Problem

To find the sum of the interior angles of a polygon, we use the formula: $\text{Sum of interior angles} = (n - 2) \times 180°$ where $n$ is the number of sides of the polygon. In this case, we have a 10-sided polygon (decagon).

Step 2: Relevant Concepts

Using the formula provided, we can plug in the value of $n$:

• $n = 10$

Step 3: Analysis and Detail

Now we can calculate the sum of the interior angles: $\text{Sum of interior angles} = (10 - 2) \times 180°$ $= 8 \times 180°$ $= 1440°$

Step 4: Verify and Summarize

The calculation states that the sum of the interior angles of a 10-sided polygon is indeed $1440°$.

Final Answer

Thus, the sum of the interior angles of a 10-sided regular polygon is $\mathbf{1,440°}$ (Option d).