Q:

Two parallel lines are crossed by a transversal. Horizontal and parallel lines p and q are cut by transversal m. At the intersection of lines p and m, the bottom left angle is b degrees. At the intersection of lines q and m, the top right angle is 128 degrees. What is the value of b? B = 32 b = 52 b = 118 b = 128

Accepted Solution

A:
Answer: Last option.Step-by-step explanation: Observe the figure attached. In order to find the value of "b", you need to remember the definition of "Alternate interior angles". These are the pairs of angles located in the interior of the parallel lines and on opposite side of the transversal. They are congruent. Based on this definition, you can conclude that the angle "b" and the angle that measures 128Β° are Alternate interior angles; therefore they are congruent. This means that the value of "b" is: [tex]b=128\Β°[/tex]