Question

The figure below shows a transversal t which intersects the parallel lines PQ and RS: Write a paragraph to prove that the measure of angle 3 is equal to the measure of angle 5.

Answer 1

Explanation:

These angles are equal due to the property of corresponding angles. If there are two parallel lines being intersected with a transversal that means the angles are equal. 3 and 5 are equal because they are alternate interior angles. 4 and 6 are also alternate interior angles.

Answer 2

if angle 3 is a corresponding angle, vertical angle or interior alternate angle to angle 5 it can be assumed that angle 5 is of equal measure. if angle three is a right angle and all angles cut from this transversal are 90 degrees if assuming that  the transversal is a perpendicular bisector