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

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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) About Me  (Show Source):
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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

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