Question

G or J?

This is a regular polygon.

What are the values of x and y?
f 45°, 135°
g 78°, 102°
h 60°, 120°
j 72°, 108°

Answer 1

the polygon has 5 regular sides, so it's a PENTAgon
\(\bf n\theta=180(n-2)\qquad \theta=\textit{internal angle}\qquad n=\textit{number of sides}=5\qquad thus
\\ \quad \\
n\theta=180(n-2)\implies 5\theta=180(5-2)\)

solve for \(\theta\) to see what the internal angle, or "x", is

Answer 2

the external angle or "y", will be as you can see 180-x

Answer 3

I'm confused @jdoe0001

Answer 4

\(\bf n{\color{brown}{ x}}=180(n-2)\qquad {\color{brown}{ x}}=\textit{internal angle}\quad n=\textit{number of sides}=5\quad thus
\\ \quad \\
n{\color{brown}{ x}}=180(n-2)\implies 5{\color{brown}{ x}}=180(5-2)\quad \textit{solve for }{\color{brown}{ x}}\)

in case that makes it clearer, assuming you know to simplify linear expressions which seems to be assumed

Answer 5

Oh its 108, so the answer is J thanks :) @jdoe0001