Question

What is the sum of the interior angles of a decagon (10-sided polygon)?

Answer 1

1440°

Step-by-step explanation:

The sum of the interior angles of a polygon is obtained using the formula:

`\begin{gathered} 180(n-2) \\ n=\text{Number of sides of the polygon} \end{gathered}`

A decagon has 10 sides, therefore: n=10

`\begin{gathered} \text{Total Interior Angle=180(10-2)} \\ =180*8 \\ =1440^0 \end{gathered}`

The sum of the interior angles of a decagon is 1440°.