Question

look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel lines and $mangle kjh = 118^{circ}$, what is $mangle ijh$?

Explanation:

Step1: Recall angle - relationship

$\angle KJH$ and $\angle IJH$ are supplementary angles (linear - pair of angles).

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle IJH=x$. Then $m\angle KJH + x=180^{\circ}$. Given $m\angle KJH = 118^{\circ}$, we have $x=180^{\circ}-m\angle KJH$.

Step3: Calculate the angle measure

$x = 180 - 118=62^{\circ}$.

Answer:

$62$