Example: In the diagram below, the lines k and l are parallel. What is the measure of angle x?
Since we know that lines k and l are parallel, we know that 117 and y are supplementary angles, meaning they add to equal 180. From there, we can calculate the value of y to be…
117 + y = 180 so y = 63 degrees
Angle x and y must be equal since k and l are parallel with a single line transecting them. So we know that x is 63 degrees
Example: Find the measure of x.
when parallel lines are cut by a transversal, corresponding angles are congruent.
We know that