Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the sum of the interior angle measures of a convex 13-gon (a thirt…

Question

find the sum of the interior angle measures of a convex 13-gon (a thirteen-sided polygon). sum of the interior angle measures = \\(\square^\circ\\)

Explanation:

Step1: Recall interior angle sum formula

The sum of interior angles of an $n$-sided polygon is given by $(n-2)\times180^\circ$.

Step2: Substitute $n=13$ into formula

$$(13-2)\times180^\circ = 11\times180^\circ$$

Step3: Calculate the product

$$11\times180^\circ = 1980^\circ$$

Answer:

$1980$