Question

1. error analysis what error did leah make?

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$m\angle 1 = 88$ by corresponding angles theorem

Explanation:

The Corresponding Angles Theorem applies when a transversal cuts parallel lines. Here, the two vertical lines are not parallel, so the theorem does not hold. Additionally, the 88° angle and ∠1 are actually supplementary (they form a linear pair with a straight angle), so ∠1 should be 92°, not 88°. Leah incorrectly applied the Corresponding Angles Theorem to non-parallel lines.

Answer:

Leah incorrectly applied the Corresponding Angles Theorem to two non-parallel lines; this theorem only applies when a transversal intersects parallel lines. The angle ∠1 is not congruent to the 88° angle, but rather supplementary to it.