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

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

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Question 165749: Given: angle ABD is congruent to angle EFH, and angle CBD is the complement of angle ABD, and angle GFH is the complement of angle EFH, then prove that angle CBD is congruent to angle GFH. use a statement reason chart help please
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