Question

Can someone prove this for me please?

Given: P is parallel to q

Prove: Angle 1 is equal to angle 5

Answer 1

This is the definition of two lines being parallel. It is not a property to prove.

Explanation:

This property is called the parallel postulate. It is one of the five axioms in Euclidean geometry. Axiom is a statement that is defined to be true as a basis of mathematics.

For more information:
https://en.wikipedia.org/wiki/Axiom
https://en.wikipedia.org/wiki/Parallel_postulate

Answer 2

Corresponding angles on parallel lines are equal.