Question

1. in the figure <1 is congruent to <4 and <3 is congruent to <5. why? *

a. corresponding angles are congruent.
b. alternate interior angles are congruent.
c. alternate exterior angles are congruent.
d. same side interior angles are congruent.

Explanation:

• Alternate interior angles are formed when a transversal intersects two parallel lines.
• In the given figure, if we assume the lines \(DG\) and \(DF\) (with the transversal \(DE\) for \(\angle1\) and \(\angle4\), and transversal \(EF\) for \(\angle3\) and \(\angle5\)) follow the property of parallel - line intersection.
• Alternate interior angles lie between the two lines and on opposite sides of the transversal. \(\angle1\) and \(\angle4\) (similarly \(\angle3\) and \(\angle5\)) fit this description.

Answer:

B. Alternate interior angles are congruent.