Lines L and M are parallel. Find m< 3

m∠3 = 142°

Solution:

Line l and m are parallel.

Sum of the adjacent angles in a straight line is 180°.

⇒ 38° + m∠1 = 180°

⇒ m∠1 = 180° – 38°

⇒ m∠1 = 142°

∠1 and ∠3 are corresponding angles.

If two parallel lines are cut by a transversal, then the corresponding angles on the same side are congruent.

⇒ ∠1 ≅ ∠3

⇒ m∠1 = m∠3

⇒ m∠3 = 142°

Therefore m∠3 = 142°.

i can't solve unless i know what the line is

step-by-step explanation:

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