SOLUTION: if lines L and M are parallel what is the measure of angle 3 i will try to illustrate it the best I can ___________ _3/4___________ L

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Question 1050505: if lines L and M are parallel what is the measure of angle 3 i will try to illustrate it the best I can
_____________3/4____________L
2/5
/
/
_________1/6_______________M
38 deg/7
sorry when i preview the question it moves part of the question to the left
so the numbers 2 and 5 go underneath the 3 and 4 and the 38 deg and the seven go under the numbers 1 and 6
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

A direct result of the famous Parallel Postulate is that corresponding angles are equal.
< 1 and < 38deg are supplementary angles - those add up to 180°
so, the measure of < 1 is < 1=180-38=142°

since, by Parallel Postulate, < 3=< 1 are corresponding angles, the measure of < 3 is 142°