Math

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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?

  • Math -

    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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