Question

modeling real life octagon towers is an octagon - shaped condominium building in miami, florida. assuming the base of octagon towers is a regular octagon, find the measure of each interior angle of the base of octagon towers. each interior angle measures \\(\square^{\circ}\\).

Explanation:

Step1: Recall interior angle formula

For an $n$-sided polygon, sum of interior angles is $(n-2)\times180^\circ$.

Step2: Define $n$ for octagon

An octagon has $n=8$ sides.

Step3: Calculate total interior angles

$\text{Total}=(8-2)\times180^\circ=6\times180^\circ=1080^\circ$

Step4: Find one interior angle

Divide total by number of angles: $\frac{1080^\circ}{8}$

Answer:

$135$