17. The measures of b and d given that m | n are:
b = 61.1° (alternate interior angle with 118.9°)
d = 43.7° (supplementary angle with 136.3°).
18. In the figure where g I p, the angles that are alternate interior angles are:
∠1 and ∠4
∠2 and ∠3
19. In the figure, p | q, where Jacob incorrectly listed the value of w to be 101, the mistake is that the value of w is 79 and not 101.
How the measures, angles, and values are computed:
17. Finding the measures of b and d given that m I n, recall the fact that alternate interior angles are congruent when two parallel lines are cut by a transversal.
Thus, the measures are:
b = 61.1° (alternate interior angle with 118.9°)
d = 43.7° (supplementary angle with 136.3°)
18. In the figure where g I p, the angles that are alternate interior angles are:
∠1 and ∠4
∠2 and ∠3
19. In the figure where p I q, Jacob incorrectly listed the value of w as 101, we can see that the angle represented by w and the angle with measure 79° are alternate interior angles, since p and q are parallel.
Thus, the value of w is 79 and not 101.