Two parallel lines are cut by a transversal as shown below.
Suppose m 6=63º. Find m 1 and m 3

Answer:
Both are 117 degrees.
Step-by-step explanation:
Since 6 and 8 are vertical angles, they are congruent. So, 8 is also 63 degrees. Angle 4 corresponds to angle 8, so it is also 63. Angle 2 and angle 4 are vertical, so they are also congruent. So, angle 2 is 63. Since angle 1 and 2 form a straight line (180 degrees), you can find angle 1 by subtracting 63 from 180. You get 117. And since 1 and 3 are vertical, 3 is also 117.