 Given that the two lines are parallel and m<7=57, what is the m<1? 

If the two lines are parallel and you are given that \( m\angle 7 = 57^\circ \), we can find \( m\angle 1 \) using the properties of parallel lines and their angles.

In the context of parallel lines cut by a transversal, angles 1 and 7 are **corresponding angles**, meaning they are congruent (equal in measure). Therefore:

\[
m\angle 1 = m\angle 7 = 57^\circ
\]

Thus, \( m\angle 1 = 57^\circ \).

Would you like further clarification or more details?

Here are 5 related questions you might want to explore:
1. What are alternate interior angles, and how do they relate to parallel lines?
2. How do we find the measure of an angle when two lines are perpendicular?
3. What is the sum of the interior angles of a triangle?
4. How can we calculate the exterior angle of a triangle using parallel lines?
5. What other angle relationships exist when two parallel lines are cut by a transversal?

**Tip:** Remember that corresponding angles are always equal when two parallel lines are intersected by a transversal!

Given that the two lines are parallel and m<7=57, what is the m<1?

Learn how to find the measure of angle 1 when two parallel lines are intersected by a transversal, given that m<7=57°. This problem uses the corresponding angles postulate and covers key concepts in geometry, including parallel lines and angle relationships. Suitable for students in Grades 7-9.

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