Since, we have a transversal cutting parallel lines, the ∠1 and ∠4 and ∠5 and ∠8 are congruent by vertical angles theorem.
What are vertical angles?
The angles opposite each other when two lines cross are vertically opposite angles.
In other words, vertical angles are a pair of opposite angles formed by intersecting lines.
Vertically opposite angles are congruent.
∠1≅∠4 (vertically opposite angles)
∠5 ≅∠8(vertically opposite angles)
Therefore, ∠1≅∠4 and ∠5 ≅∠8 by vertical angle theorem
learn more on vertical angles here: https://brainly.com/question/16987080
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