Question

question
what is the measure of each interior angle of the regular polygon pictured below? if necessary, round to the nearest tenth.

Explanation:

Step1: Count polygon sides

The polygon has 10 sides, so $n=10$.

Step2: Find total interior angles

Use formula for total interior angles:
$$(n-2)\times180^\circ$$
$$(10-2)\times180^\circ = 8\times180^\circ = 1440^\circ$$

Step3: Calculate one interior angle

Divide total by number of sides:
$$\frac{1440^\circ}{10}=144.0^\circ$$

Answer:

$144.0^\circ$