Question

What is the measure of each interior angle in a regular 15-gon?



A.
120°


B.
167°


C.
108°


D.
156°

Answer 1

@mathstudent55

Answer 2

\(\bf \textit{sum of interior angles in a regular polygon}={\color{brown}{ n}}\theta=180({\color{brown}{ n}}-2)
\\ \quad \\
{\color{brown}{ n}}=\textit{sides in the polygon}\qquad \textit{solve for }\theta\impliedby \textit{interior angle}\)

Answer 3

well.... hmmm \(\bf \textit{sum of interior angles in a regular polygon}\implies{\color{brown}{ n}}\theta=180({\color{brown}{ n}}-2)
\\ \quad \\
{\color{brown}{ n}}=\textit{sides in the polygon}\qquad \textit{solve for }\theta\impliedby \textit{interior angle}\)

Answer 4

so i mulitply 15 times 0?

Answer 5

the equation would look like this
15x0=180(15-2)

Answer 6

167?

Answer 7

well.. . the 15-gon has 15 sides
thus \(\bf \textit{sum of interior angles in a regular polygon}
\\ \quad \\
{\color{brown}{ 15}}\theta=180({\color{brown}{ 15}}-2)\impliedby \textit{solve for }\theta\)

Answer 8

B

Answer 9

please hurry, my laptop is overheating and it shuts down by itself!!

Answer 10

i think its B, am i correct?

Answer 11

well.. what did you get for \(\theta?\)

Answer 12

is that a zero? i multiplied 0 times 15 and then did the rest of the equation and got 167

Answer 13

D