Question

look at this diagram: if $overleftrightarrow{ik}$ and $overleftrightarrow{ln}$ are parallel lines and $mangle kjh = 46^{circ}$, what is $mangle ijh$?

Explanation:

Step1: Identify angle - relationship

$\angle IJH$ and $\angle KJH$ are supplementary angles since they form a linear - pair.

Step2: Use the supplementary - angle property

The sum of two supplementary angles is $180^{\circ}$. Let $m\angle IJH=x$ and $m\angle KJH = 46^{\circ}$. Then $x + 46^{\circ}=180^{\circ}$.

Step3: Solve for the unknown angle

$x=180^{\circ}-46^{\circ}=134^{\circ}$.

Answer:

$134$