Question

look at this diagram!
if $overleftrightarrow{fh}$ and $overleftrightarrow{ik}$ are parallel lines and $m\angle fgj = 131^\circ$, what is $m\angle kjg$?
\boxed{\space}^\circ

Explanation:

Step1: Identify consecutive interior angles

$\overleftrightarrow{FH} \parallel \overleftrightarrow{IK}$, transversal $\overleftrightarrow{LE}$ creates consecutive interior angles $\angle FGJ$ and $\angle KJG$.

Step2: Sum of consecutive interior angles is $180^\circ$

$m\angle FGJ + m\angle KJG = 180^\circ$

Step3: Solve for $m\angle KJG$

$m\angle KJG = 180^\circ - m\angle FGJ = 180^\circ - 131^\circ$

Answer:

$49^\circ$