the diagram shows a convex polygon. what is the sum of the interior angle measures of this polygon?
the diagram shows a convex polygon. what is the sum of the interior angle measures of this polygon?
Answer
Explanation:
Step1: Identify the number of sides
The polygon is an octagon, so $n = 8$.
Step2: Use the interior - angle sum formula
The formula for the sum of interior angles of a polygon is $S=(n - 2)\times180^{\circ}$. Substitute $n = 8$ into the formula: $S=(8 - 2)\times180^{\circ}$.
Step3: Calculate the sum
First, $8-2 = 6$. Then, $6\times180^{\circ}=1080^{\circ}$.
Answer:
$1080$