Question

two parallel lines are crossed by a transversal.
what is the value of b?
options: b = 128, b = 52, b = 32, b = 118

Explanation:

Step1: Identify supplementary angles

The 128° angle and its adjacent angle on the transversal are supplementary.
Adjacent angle = $180^\circ - 128^\circ = 52^\circ$

Step2: Use corresponding angles property

Since lines are parallel, $b$ equals the adjacent angle (corresponding angles).
$b = 52^\circ$

Answer:

b = 52