Question

The figure is a regular octagon with each side extended.

What is the value of x?

f 45°
g 135°
h 75°
j 60°

I think the answer is either f or j.

Answer 1

\(\Huge\color{blue}{ \bf \frac{180(n-2)}{n} }\) this is a formula for each angle in a regular polygon with n sides, so in your case

\(\Huge\color{blue}{ \bf \frac{180(8-2)}{8}=\frac{180(6)}{8}=135 }\)

Answer 2

So, knowing that the supplementary angle to "x" is 135, x equals ?

Answer 3

135? @SolomonZelman

Answer 4

or 45 sorry. @SolomonZelman because 180 - 135= 45?

Answer 5

yes, correct.

Answer 6

Ok, thank you :)

Answer 7

Not a problem :)