Question

what is the sum of the interior angles of a decagon?
polygon angle sum formula: $(n - 2)180^{circ}$

Explanation:

Step1: Identify the number of sides of a decagon

A decagon has \(n = 10\) sides.

Step2: Substitute \(n\) into the polygon angle - sum formula

Use the formula \((n - 2)\times180^{\circ}\). Substitute \(n = 10\) into it: \((10 - 2)\times180^{\circ}\).

Step3: Calculate the result

First, \(10-2=8\). Then, \(8\times180^{\circ}=1440^{\circ}\).

Answer:

\(1440^{\circ}\)