Question

which angles are supplementary angles? ce and fh are parallel lines.

Explanation:

Step1: Recall parallel - line properties

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary.

Step2: Identify consecutive interior angles

Angles like $\angle EGD$ and $\angle GHF$ are consecutive interior angles. Also, $\angle DGC$ and $\angle GHF$ are supplementary as well as $\angle EGD$ and $\angle GFC$, $\angle DGC$ and $\angle GFC$.

Answer:

Consecutive interior angles such as $\angle EGD$ and $\angle GHF$, $\angle DGC$ and $\angle GHF$, $\angle EGD$ and $\angle GFC$, $\angle DGC$ and $\angle GFC$