Question

find the sum of the measure for the interior angles of a decagon. a. 1800° b. 1440° c. 1620° d. 1260°

Explanation:

Step1: Recall the formula

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

Step2: Identify the value of n

A decagon has $n = 10$ sides.

Step3: Calculate the sum

Substitute $n = 10$ into the formula: $S=(10 - 2)\times180^{\circ}=8\times180^{\circ}=1440^{\circ}$.

Answer:

B. $1440^{\circ}$