Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle lkm = 46^{circ}$, what is $mangle ihk?
work it out

Explanation:

Step1: Identify angle - relationship

$\angle LKM$ and $\angle IHK$ are corresponding angles.

Step2: Apply property of parallel lines

For parallel lines $GI$ and $JL$, corresponding angles are equal. Since $m\angle LKM = 46^{\circ}$, then $m\angle IHK=m\angle LKM$.

Answer:

$46$