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Determine which lines are parallel, given that angle 4= 112 and angle 16=68

Determine which lines are parallel, given that angle 4= 112 and angle 16=68-example-1

1 Answer

4 votes

Answer:

lines l and n are parallel

Explanation:

Look at line q. It is a transversal to lines l and n.

m<4 = 112 and m<16 = 68.

m<4 + m< 16 = 112 + 68 = 180

Angles 4 and 16 are supplementary.

Angles 4 and 16 are same side interior angles of lines l and n and the transversal q.

Theorem:

If two lines are intersected by a transversal, such that same side interior angles are supplementary, then the two lines are parallel.

Answer: lines l and n are parallel (is that choice D.?)

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