what is the sum of the interior angles of the polygon pictured below?\nanswer attempt 1 out of 2

what is the sum of the interior angles of the polygon pictured below?\nanswer attempt 1 out of 2

what is the sum of the interior angles of the polygon pictured below?\nanswer attempt 1 out of 2

Answer

Explanation:

Step1: Count polygon sides

The polygon has 10 sides (decagon), so $n=10$.

Step2: Use interior angle sum formula

The formula for the sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$. Substitute $n=10$: $$(10-2)\times180^\circ = 8\times180^\circ$$

Step3: Calculate the final value

$8\times180^\circ = 1440^\circ$

Answer:

$1440^\circ$