# Math

posted by Gina

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?

1. Steve

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.

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