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Note that the lines cut by the transversal are parallel.
m∠ 1=123^(∘) (Alternate Exterior Angles Theorem) m∠ 2=123^(∘) (Vertical Angles Congruence Theorem)
m∠ 2=123^(∘). To find m∠ 1, we can either use the fact that 123^(∘) and ∠ 1 are corresponding angles, or that ∠ 1 and ∠ 2 are alternate interior angles. Since the lines cut by the transversal are parallel, we can, by the Corresponding Angles Theorem and the Alternate Exterior Angles Theorem, say that these pairs of angles will be congruent. Therefore, we have that m∠ 2=123^(∘).
