Question

for the diagram, determine the number of sides use the polygon angle sum theorem to find the sum of the interior angles (show all work on paper)
n =
sum of interior angles = degrees.

Explanation:

Step1: Count number of sides

By observing the polygon, we can see it has 10 sides, so $n = 10$.

Step2: Apply polygon - angle sum theorem

The formula for the sum of interior angles of a polygon is $(n - 2)\times180^{\circ}$. Substitute $n = 10$ into the formula: $(10 - 2)\times180^{\circ}=8\times180^{\circ}=1440^{\circ}$.

Answer:

$n = 10$
Sum of Interior Angles = $1440$ degrees.