SOLUTION: Given: angle ABD is a right angle. angle CBE is a right angle. Prove: angle ABC is congruent to angle DBE

Algebra.Com
Question 657024: Given: angle ABD is a right angle.
angle CBE is a right angle.
Prove: angle ABC is congruent to angle DBE

Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


I'm guessing as to your actual figure, but: (read "the measure of angle" in front of each of the angle designators)

ABD = ABC + CBD

CBE = DBE + CBD

But ABD and CBE are both right therefore congruent, so

ABC + CBD = DBE + CBD

Subtract the measure of CBD from both sides, then ABC = DBE, Q.E.D.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism


RELATED QUESTIONS

Given: angle ABC is right angle angle CBE is right angle Prove : angle ABC is congruent (answered by richwmiller)
Given: Angle 1 is compliment to angle 2. Prove: Angle ABC is a right angle. (answered by cleomenius,MathTherapy)
Given: *Angle FGE is a right Angle *Angle HGE is a right Angle *Angle F is congruent... (answered by ikleyn)
Given: Ray BX bisects angle ABC, the measure of angle ABX is 45°. Prove: Angle ABC is a... (answered by Theo)
given: angles ABC is a right angle prove: angle 1 and angle 2 are... (answered by stanbon)
Right triangle ABC. B is a right angle Given: right triangle ABC Prove: angle A... (answered by tommyt3rd)
Write a two-column proof- Given: Angle ABD is congruent to angle YXZ Prove: Angle CBD... (answered by solver91311)
GIVEN: angle ABD is congruent to angle YXZ PROVE: ANGLE CBD Is congruent to angle WXZ (answered by solver91311)
Prove the Right Angle Theorem: All right angles are congruent. Given: Angle 1 and Angle 2 (answered by acalgebra)