SOLUTION: Write a proof that shows vertical angles are congruent. Note: You cannot use the Vertical Angle Theorem as your proof. Use either a paragraph or two-column proof.

Algebra ->  Geometry-proofs -> SOLUTION: Write a proof that shows vertical angles are congruent. Note: You cannot use the Vertical Angle Theorem as your proof. Use either a paragraph or two-column proof.      Log On


   



Question 1075360: Write a proof that shows vertical angles are congruent.
Note: You cannot use the Vertical Angle Theorem as your proof.
Use either a paragraph or two-column proof.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Without being able to easily draw,
Make two parallel lines cut by a transversal.
Let the alternate interior angles be a and b. They are equal.
Let angle c be an interior angle on the same side as angle a.
Let angle d be a corresponding angle to angle a
Angle d is supplementary to angle c
Angles b and d by definition are vertical angles
Therefore angle d equals angle b and by extension to angle a.