Question

question 8 of 10 what is the sum of the measures of the interior angles of an octagon? a. 1440° b. 2880° c. 360° d. 45° e. 2160° f. 1080°

Explanation:

Step1: Recall the formula

The formula for the sum of interior - angles of a polygon is $(n - 2)\times180^{\circ}$, where $n$ is the number of sides of the polygon.

Step2: Identify the number of sides of an octagon

An octagon has $n = 8$ sides.

Step3: Calculate the sum

Substitute $n = 8$ into the formula: $(8 - 2)\times180^{\circ}=6\times180^{\circ}=1080^{\circ}$.

Answer:

F. $1080^{\circ}$