Question

↔ce and ↔fh are parallel lines. which angles are supplementary angles? ∠fgd and ∠cdb ∠fgd and ∠hgi ∠fgd and ∠edg ∠fgd and ∠hgd

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180 degrees. When two parallel lines are cut by a transversal, same - side interior angles are supplementary.

Step2: Identify same - side interior angles

In the given figure with parallel lines \(CE\) and \(FH\) cut by transversal \(BI\), \(\angle FGD\) and \(\angle EDG\) are same - side interior angles.

Answer:

\(\angle FGD\) and \(\angle EDG\)