what is the sum of the interior angles of the polygon shown below?
what is the sum of the interior angles of the polygon shown below?
Answer
Explanation:
Step1: Identify the polygon type
The polygon is an octagon with $n = 8$ sides.
Step2: Use the interior - angle sum formula
The formula for the sum of interior angles of a polygon is $(n - 2)\times180^{\circ}$. Substitute $n = 8$ into the formula: $(8 - 2)\times180^{\circ}$.
Step3: Calculate the result
$(8 - 2)\times180^{\circ}=6\times180^{\circ}=1080^{\circ}$.
Answer:
$1080$