Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jil = 48^{circ}$, what is $mangle jig$?

Explanation:

Step1: Identify angle - relationship

$\angle JIL$ and $\angle JIG$ are supplementary angles (they form a linear - pair).

Step2: Use the supplementary - angle property

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle JIL = 48^{\circ}$ and $m\angle JIG=x$. Then $x + 48^{\circ}=180^{\circ}$.

Step3: Solve for the unknown angle

$x=180^{\circ}-48^{\circ}=132^{\circ}$.

Answer:

$132$