Question

Imagine a transversal intersecting two parallel lines. If the slope of the transversal is changed to increase one of the angles at the intersection by twenty-three degrees, what happens to the vertical angle?

Answer 1

Here are parallel lines m and n and transversal t.

Answer 2

Angles 1 and 2 are congruent because they are corresponding angles.

Answer 3

Now read the problem, use my second figure and draw the new position of line t, making sure that the measure of angle 1 increases. We'll assume that increase to be 23 degrees.