Line a intersects line b, forming angles of 135 degrees and 45 degrees. A third line,line c, is perpendicular to line a and forms triangle ABC. What is the measure of the angle between lines b and c?

Question

Line a intersects line b, forming angles of 135 degrees and 45 degrees. A third line,line c, is perpendicular to line a and forms triangle ABC. What is the measure of the angle between lines b and c?
a. 35 degrees
b. 45 degrees
c. 90 degrees
d. 135 degrees
e. Can't be determined
Can you show me how the lines are drawn out?

Steve · Answer

sorry - no pictures here.
Surely you can draw a reasonable picture of lines a and b.

Let a be the x-axis
Then b is the line y=x (45°)
Now, line c will be parallel to the y-axis.

So, you now have a right triangle with two 45° angles.