Question

The formula for the sum of the degree measures of the interior angles of a polygon is S=180(n-2) Solve for ,n, the number of sides of the polygon, in terms of S

NEED STEP BY STEP EXPLANATION

Answer 1

`S = 180(n - 2) \\ S = 180n - 360 \\ 180n =( S + 360) \\ n = ((S+ 360))/(180)`

where, n =number of sides of polygon

S =sum of the degree measures of the interior angles of the polygon

Answer 2

• n = (S + 360)/180

Explanation:

Given formula:

• S = 180(n - 2)

Solving for n:

• S = 180(n - 2) ⇒ open parenthesis
• S = 180n - 360 ⇒ isolate n
• 180n = S + 360 ⇒ divide both sides by 180
• n = (S + 360)/180