Question

Carmen is planning rail lines for a new train station. Help her find m<1. Explain how you found that solution. Parallel lines a and b are cut by transversal t to form 8 angles. Clockwise from top left, the angles formed with line a are blank, 17 degrees, 2, blank; with line b are 1, blank, blank, blank.

Answer 1

To find angle m&lt;1, we can use the properties of parallel lines cut by a transversal. Given that parallel lines a and b are cut by transversal t to form angles, we have the following information:

- With line a: 17 degrees, 2

- With line b: 1

To find m&lt;1, we need to identify the corresponding angle on line b that is related to the 17 degrees angle on line a. Since parallel lines cut by a transversal create corresponding angles that are congruent, angle 1 on line b is the corresponding angle to the 17 degrees angle on line a.

Therefore, m&lt;1 = 17 degrees.