Two parallel lines are cut by a transversal as shown below.

∠ 1 = ∠ 3 = 99°

Step-by-step explanation:

∠ 3 and ∠ 8 are same- side interior angles and are supplementary, thus

∠ 3 + ∠ 8 = 180, that is

∠ 3 + 81 = 180 ( subtract 81 from both sides )

∠ 3 = 99°

∠ 1 and ∠ 3 are vertical angles and congruent, thus

∠ 1 = ∠ 3 = 99°

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