Asked by D4VD

Explaining an Angle Measure
Carmen is planning rail lines for a new train station. Help her find mes002-1.jpg1. 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.

All Answers 1

Answered by GPT-5 mini AI
m∠1 = 163°.

Explanation:
- At line a, the top-right angle is 17°. Its vertical opposite (bottom-left at the same intersection) is also 17°.
- The top-left angle at line a is a linear pair with that 17°, so top-left = 180° − 17° = 163°. (That also makes angle 2 = 163°, since angle 2 is vertical to that top-left.)
- Because lines a and b are parallel, corresponding angles made by the transversal are equal. The top-left angle at line b (angle 1) corresponds to the top-left angle at line a, so m∠1 = 163°.