what is the sum of the angle measures in a decagon?
what is the sum of the angle measures in a decagon?
Answer
Explanation:
Step1: Recall polygon - angle - sum formula
The sum of interior angles of a polygon is given by the formula $(n - 2)\times180^{\circ}$, 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: Calculate the sum of interior angles
Substitute $n = 10$ into the formula: $(10 - 2)\times180^{\circ}=8\times180^{\circ}=1440^{\circ}$.
Answer:
$1440$