# 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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 Geometry: Proofs in Geometry Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Geometry proofs 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)   (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