Question

the diagram shows a convex polygon. what is the sum of the interior angle measures of this polygon? \\(\square^\circ\\)

Explanation:

Step1: Count polygon sides

Count gives $n=11$ sides.

Step2: Use interior angle sum formula

Formula: $\text{Sum}=(n-2)\times180^\circ$

Step3: Substitute $n=11$ and calculate

$\text{Sum}=(11-2)\times180^\circ=9\times180^\circ=1620^\circ$

Answer:

1620