Question

a diagram is shown. related to ∠ega and ∠fhd. if two parallel lines are intersected by a transversal, then their select angles are select. therefore select = select

Explanation:

Step1: Recall angle - pair property

When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Identify angle - pair type

In the given diagram, $\angle EGA$ and $\angle FHD$ are corresponding angles as they are in the same relative position with respect to the parallel lines and the transversal.

Step3: State the conclusion

Since corresponding angles are congruent when two parallel lines are intersected by a transversal, $\angle EGA\cong\angle FHD$.

Answer:

1. Corresponding angles are congruent.
2. $\angle EGA$ and $\angle FHD$ are corresponding angles.
3. $\angle EGA\cong\angle FHD$