Final answer:
To prove lines a and b are parallel given the below angle measurements expressed numerically, we need to show that the corresponding angles are equal.
Step-by-step explanation:
To prove that lines a and b are parallel given the angle measurements expressed numerically, we need to show that the corresponding angles are equal. In other words, if angle 1 and angle 2 are congruent, then lines a and b are parallel.
We can use the properties of parallel lines and transversals to find the corresponding angles. If two lines are parallel, then the alternate interior angles, corresponding angles, and consecutive interior angles are all congruent.
- Identify angle 1 on line a and angle 2 on line b.
- Measure the values of angle 1 and angle 2 using a protractor.
- If angle 1 and angle 2 have the same measurement, then lines a and b are parallel.