Question

drag the yellow dot until $overleftrightarrow{ac}$ and $overleftrightarrow{df}$ are exactly parallel. afterwards, use the protractor to measure $angle abg$ and $angle feh$. make sure the angle measurements are consistent with $overleftrightarrow{ac}$ and $overleftrightarrow{df}$ being parallel. move the line using the yellow dot. measure the angles with the protractor. you may shift or zoom the canvas using your mouse.

Explanation:

Step1: Recall parallel - line angle property

When two lines ($\overleftrightarrow{AC}$ and $\overleftrightarrow{DF}$) are parallel and intersected by a transversal, corresponding angles are equal. $\angle ABG$ and $\angle FEH$ are corresponding angles.

Step2: Use a protractor

Place the center of the protractor on point $B$ and measure $\angle ABG$. Then place the center of the protractor on point $E$ and measure $\angle FEH$. The measurements of $\angle ABG$ and $\angle FEH$ should be equal if $\overleftrightarrow{AC}$ and $\overleftrightarrow{DF}$ are parallel.

Answer:

The measurements of $\angle ABG$ and $\angle FEH$ should be equal.