Lines m
m
and n
n
are parallel lines cut by a transversal l.
l
.

Line m is above line n. Angles are labeled 1 to 4 clockwise starting from top left at intersection of lines l & m. Angles are labeled 5 to 8 in the same way for lines l & n

Which answer gives statements that should be used to prove angles 2
2
and 7
7
are supplementary angles?

Angles 1
1
and 4
4
form a linear pair; angles 2
2
and 3
3
form a linear pair.
Angles 1 and 4 form a linear pair; angles 2 and 3 form a linear pair.

Angles 2
2
and 6
6
are congruent as corresponding angles; angles 8
8
and 1
1
are congruent as corresponding angles.
Angles 2 and 6 are congruent as corresponding angles; angles 8 and 1 are congruent as corresponding angles.

Angles 6
6
and 8
8
are congruent as vertical angles; angles 5
5
and 7
7
are congruent as vertical angles.
Angles 6 and 8 are congruent as vertical angles; angles 5 and 7 are congruent as vertical angles.

Angles 2
2
and 6
6
are congruent as corresponding angles; angles 6
6
and 7
7
form a linear pair.

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

Two angles on the same side of two parallel lines which are intersected by a traversal line are said to be congruent.

Angle 2 and Angle 6 are congruent as both of them are on the same sides of two parallel lines.

Angles 2 and 6 are congruent as corresponding angles; angles 6 and 7

form a linear pair. Option (2) is the correct answer.

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