In the diagram shown, line m
is parallel to line n
. Justine says that ∠3
and ∠7
are supplementary angles. Is she correct? Why or why not?


Parallel lines m and n are cut by a transversal. The angles formed with line m, starting at the top left and going clockwise are: 1, 2, 3, 4. The angles formed with line n are 5, 6, 8, 7.
CLEAR CHECK

No, because ∠3
is an interior angle and ∠7
is an exterior angle.


No, because they are not a linear pair.


Yes, because ∠3
and ∠8
are congruent corresponding angles, and ∠7
and ∠8
are a linear pair.


Yes, because ∠3
is acute and ∠7
is obtuse.