Question

the last step before going live is selecting and setting up your lighting. you want the shape of the lighting design to be a polygon so that the sum of its interior angles measures 180°. based on the interior angle measures, how many sides will the shape of your chosen lighting design have? five four three six

Explanation:

Step1: Recall interior angle formula

The sum of interior angles of an $n$-sided polygon is given by $(n-2) \times 180^\circ$.

Step2: Set up equation for given sum

Set $(n-2) \times 180^\circ = 180^\circ$

Step3: Solve for $n$

Divide both sides by $180^\circ$: $n-2 = 1$
Add 2 to both sides: $n = 3$

Answer:

Three