SOLUTION: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to ang

Algebra ->  Algebra  -> Geometry-proofs -> SOLUTION: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to ang      Log On

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Question 165766: Given:angle ABD is congruent to angle EFH, and angle CBD is the supplement of angle ABD, and angle GFH is the supplement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart please help thank you.
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
I am using the (=) sign to represent congruent.
statement:..................................Reason
ABD (=) EFH.............................. Given
CBD + ABD =90............................ Given
GFH + EFH =90............................ Given
GFH + ABD =90....................... substitute ABD for EFH since ABD (=) EGH
GFH + ABD = CBD + ABD............... since both are equal to 90 they are also
...................................... equal to each other.
GFH = CBD............................. subtracting out equal angles
GFH (=) CBD........................... conclusion