Question

what is the sum of the measures of the interior angles of a 20-sided figure?○ 3240○ 180○ 3600○ 360question 6 1 ptswhat is the measure of each exterior angle of a regular 15-sided figure?○ 360○ 156○ 180○ 24

Explanation:

Step1: Use interior angle sum formula

The formula for the sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$. For $n=20$:
$$(20-2)\times180^\circ = 18\times180^\circ$$

Step2: Calculate the sum

$$18\times180^\circ = 3240^\circ$$

Step3: Use exterior angle property

For any regular polygon, the sum of exterior angles is $360^\circ$. For a 15-sided regular polygon, divide total by number of sides:
$$\frac{360^\circ}{15}$$

Step4: Calculate each exterior angle

$$\frac{360^\circ}{15}=24^\circ$$

Answer:

1. 3240
2. 24