Question

The figure shows a transversal t which intersects the parallel lines PQ and RS:

Write a paragraph to prove that the measure of angle 4 is equal to the measure of angle 8.

Answer 1

When an transversal cuts two parallel lines, there are 3 types of equal angle pairs: corresponding angles, alternate interior angles and vertical angles.

In this case, angle 4 and angle 8 are corresponding angles.