lines l and m are parallel . what is the measurement of <1 and <2

Answer:
∠ 1 = 78° , ∠ 2 = 102°
Step-by-step explanation:
∠ 2 and 102° are corresponding angles and are congruent ( equal ) , so
∠ 2 = 102°
∠ 1 and ∠ 2 are a linear pair and sum to 180° , that is
∠ 1 + ∠ 2 = 180°
∠ 1 + 102° = 180° ( subtract 102° from both sides )
∠ 1 = 78°