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.
o corresponding angles theorem
o alternate interior angles theorem
o vertical angles theorem
o alternate exterior angles theorem

Explanation:

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent. In the given diagram, \(\angle1\) and \(\angle4\) are vertical angles (formed by the intersection of lines \(e\) and \(g\)), and \(\angle5\) and \(\angle8\) are vertical angles (formed by the intersection of lines \(f\) and \(g\)).

Answer:

vertical angles theorem.