Angle 5 is 115°

and lines M
and N
are parallel. Find the measure of angle 2.

5 answers

Angle 2 is 115° because when a pair of parallel lines are intersected by a transversal, alternate interior angles (angles on opposite sides of the transversal and inside the parallel lines) are congruent. Angle 5 and angle 2 are alternate interior angles in this case.
it said its wrong though
I apologize for the mistake. Let's reevaluate.

Since angle 5 is given as 115°, angle 2 and angle 5 are corresponding angles because the lines M and N are parallel. Corresponding angles are congruent when two parallel lines are cut by a transversal.

Therefore, angle 2 is also 115°.
its 65 subtract 180 from115
I see the error. Thank you for pointing it out.

To find angle 2, we need to understand that angles on a straight line add up to 180 degrees. Since angle 5 is 115°, angle 2 can be found by subtracting 115° from 180°.

Thus, angle 2 = 180° - 115° = 65°. Thank you for the correction. Angle 2 is indeed 65°.