Use the figure to answer the question.

Question

An illustration shows a right inclined transversal passing through two parallel lines labeled upper M and upper N. Four angles are formed at the intersections of the transversal with upper M and upper N. The angles formed around the intersection point of the transversal and upper M are labeled clockwise, starting from the upper left quadrant: 1, 2, 4, and 3. The corresponding angles formed around the intersection point of upper N are labeled clockwise, starting from the upper left quadrant: 5, 6, 8, and 7.

Angle 5 is 115° and lines M and N are parallel. Find the measure of angle 2.

(1 point)
Responses

115°
115 degrees

180°
180 degrees

65°
65 degrees

75°

Answer 1

To find the measure of angle 2, we can use the properties of parallel lines and the angles formed by a transversal.

Given that lines M and N are parallel and angle 5 measures 115°, we can infer the following:

1. Angle 5 (115°) and angle 2 are corresponding angles. Therefore, they are equal in measure since they occupy the same relative position at each intersection of the transversal with the parallel lines.

Therefore, angle 2 is also 115°.

So the answer is:

115°