Question

question 2 of 10
what is the sum of the measures of the interior angles of an 11 - gon?
a. 1800°
b. 3600°
c. 1440°
d. 1980°
e. 1620°
f. 2880°

Explanation:

Step1: Recall the formula

The formula for the sum of interior - angle measures of an $n$-sided polygon is $(n - 2)\times180^{\circ}$.

Step2: Substitute $n = 11$

When $n=11$, we have $(11 - 2)\times180^{\circ}=9\times180^{\circ}$.

Step3: Calculate the result

$9\times180^{\circ}=1620^{\circ}$.

Answer:

E. $1620^{\circ}$