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Triangles Online Practice
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Question
Use the figure to answer the 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

75°
75 degrees

65°

1 answer

Since lines M and N are parallel and line segment (the transversal) intersects them, we can use the properties of corresponding angles and alternate interior angles.

We see that angle 5, which is 115°, is corresponding to angle 2. Therefore, angle 2 also measures 115°.

The correct answer is: 115°