Question

Proofs About Angles Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.

Two parallel, inclined lines labeled as m and n are separated by a distance. A diagonal line labeled as t intersects m and n at a bottom left to top right incline.

In the diagram, given m∥n
, m∠5=117°
. Investigate the patterns of angles created when parallel lines are cut by a transversal to identify m∠2
.

(1 point)
m∠2=
°


Remaining Attempts : 1View previous attempt
Skip to navigation

Answer 1

To find \( m∠2 \) given that \( m∠5 = 117° \) and that lines \( m \) and \( n \) are parallel (denoted as \( m∥n \)), we can use the properties of angles formed when parallel lines are intersected by a transversal.

In this case, angle \( 5 \) and angle \( 2 \) are alternate interior angles. When two parallel lines are cut by a transversal, alternate interior angles are equal. Therefore, we can say:

\[
m∠2 = m∠5
\]

Since \( m∠5 = 117° \), we have:

\[
m∠2 = 117°
\]

Thus, the answer is:

\[
m∠2 = 117°
\]