Answered

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Answer:

m < 2 = 45°

Step-by-step explanation:

m < 1 and m < 3 are corresponding angles that lie on the same side of the transversal.  Since they are corresponding angles, then it means that they have the same measure.

Therefore, if m < 1 = 135°, then m < 3 = 135°.

Also, the sum of m < 2 and m < 3 = 180° because they are supplementary angles.

Therefore:

m < 2 + m < 3 = 180°

m < 2 + m < 135° = 180°

m < 2 = 180° - m < 135°

m < 2 = 45°

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