If line M is parallel to line N, which angle is supplementary with 1?
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2 Answer

1. User Answers rtrim03
Prove: lines l and m are parallel. given ang 2 congruent to ang 5 1. ang 1 congruent to ang 2colinear angle theorem 2 ang 5 congruent to 
2. User Answers varshamittal029
∠2, ∠3, ∠6, ∠7 are supplementary angles to ∠1
What are supplementary angels?
Supplementary angles are those angles whose sum will be 180°.
Fro the picture shown below,
it is clear that the line M and N are parallel and cut by the transveral line L.
So ∠1 and ∠2 are supplementary angles because ∠1 and ∠2 are adjacent angles and are part of straight angle.
Similarly, ∠1 and ∠3 are supplementary angles because ∠1 and ∠3 are adjacent angles and are part of straight angle.
As line M is parallel to N
and cut by by the transversal line L, ∠1 and ∠7 are same side extrude angle.
As we know the same side extrude angles are supplementary.
so, ∠1 and ∠7 will be supplementary angles.
As line L is cut by line N then, ∠6 and ∠7 are vertical angles.
As we know the vertical angles are equal.
∠6=∠7
From above it is clear that ∠1 and ∠7 will be supplementary angles.
∠1+∠7=180°
⇒∠1+∠6=180° (as ∠6=∠7)
so ∠1 and ∠6 will be supplementary angles.
Therefore ∠2, ∠3, ∠6, ∠7 are supplementary angles to ∠1
Learn more about the supplementary angles
here: https://brainly.com/question/404323
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