I need help and fast I was supposed to turn this in last week

Mathematics

1 answer:

Reptile [31]3 years ago

3 0

Answer:

The answer is below

Step-by-step explanation:

If two lines intersected by a transversal form congruent corresponding angles, then the lines are parallel.

If two angles are supplementary to the same angle, then the two angles are congruent.

Statement Reason

1) line p is parallel to line q Given

2) angle 1 and angle 4 are Given

supplementary i.e. ∠1 + ∠4

= 180° (definition of supplementary)

3) angle 3 and angle 4 are consecutive interior angles

supplementary

4) angle 1 congruent to angle 3 congruent supplements theorem

supplementary

5) line r parallel to line s corresponding angle converse

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