Question

given: e || f and g is a transversal
prove: ∠1 ≅ ∠8
given that e || f and g is a transversal, we know that
∠4 ≅ ∠5 by the alternate interior angles theorem. we
also know that ∠1 ≅ ∠4 and ∠5 ≅ ∠8 by the _.
therefore, ∠1 ≅ ∠8 by the substitution property.
○ corresponding angles theorem
○ alternate interior angles theorem
○ vertical angles theorem
○ alternate exterior angles theorem

Explanation:

Vertical angles are the angles opposite each other when two lines cross. In the given diagram, \(\angle1\) and \(\angle4\) are vertical angles, and \(\angle5\) and \(\angle8\) are vertical angles. The vertical angles theorem states that vertical angles are congruent.

Answer:

vertical angles theorem