Question

Given that p || q, what are the reasons that each statement is true?

Answer 1

Answer:

See answers below

Step-by-step explanation:

1) This is the given premise "line p is parallel to line q"

2) Angles 1 and 2 are equal (congruent) because they are vertical opposite angles.

3) Angles 2 and 3 are equal (congruent) because they are alternate angles.

4) Angles 3 and 4 are equal (congruent) because they are vertical opposite angles.

5) Angles 1 and 4 are equal (congruent) because: a) angle 1 is equal to angle 2 being vertical opposite,  b) angle 2 is equal to angle 4 because they are corresponding angles, therefore c) due to transitive property, angle 1 will equal angle 4.