Question

use the figures to decide whether the indicated lines are parallel. justify your answers. x = 36°, y = 144°, z = 80° (the figures are not to scale.) are p and q parallel lines? explain.

Explanation:

For the first part, if corresponding angles are equal, the lines are parallel. Here, the corresponding angles are 36° each, so the lines are parallel. For the second part, if alternate - interior angles are equal, the lines are parallel. Since the alternate - interior angles are 80° each, lines p and q are parallel.

Answer:

1. D. Yes, because corresponding angles are 36° each.
2. C. Yes, because alternate interior angles are 80° each.