Question

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. Also what is the measure of angle 5 and why? You need to use the names of the angle relationship and explain.

Answer 1

Answer: Angle 4 is 167 degrees. Angle 5 is 13 degrees.

Step-by-step explanation:

If angle 1 is 167 degrees, then angle 4 is also 167 degrees because angle 4 is vertical to angle 1. Vertical angles are each of the pairs of opposite angles made by two intersecting lines.  Knowing this, you know angle 2 is also 167 degrees because it is vertical to angle 1. To solve, a straight line is 180 degrees. 180-167 is 13 degrees therefore angle 5 is 13 degrees