If mangle4 = mangle5, it means that Angle 4 is congruent to Angle 5.
Since Angle 5 is above line s and left of line l, and Angle 6 is above line s and right of line l, we can conclude that line l is parallel to line s.
Therefore, line r is also parallel to line m because lines r and s each intersect lines l and m.
So, the lines that are parallel are line l and line s.
Note: Your teacher will grade your response to ensure you receive proper credit for your answers.
Which lines are parallel if mangle4 = mangle5? Justify your answer.
An image with four lines that intersect in pairs is shown.
Lines r is above line s. Lines r and s each intersect lines l and m.
line l is left of line m.
8 angles are labeled with numbers.
Angle 1 is above line r and left of line l.
Angle 2 is above line r and right of line l.
Angle 3 is below line r and left of line l.
Angle 4 is below line r and right of line l.
Angle 5 is above line s and left of line l.
Angle 6 is above line s and right of line l.
Angle 7 is above line r and left of line m.
Angle 8 is below line r and left of line m.
(2 points)
1 answer