Help with Geometry Proofs: Proving Congruent Angles

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The discussion revolves around solving geometry proofs related to congruent angles. The user seeks assistance in proving that Angle ABC is congruent to Angle DEF, given that Angle ABG is congruent to Angle DEH and Angle GBC is congruent to Angle HEF. The user has attempted to outline the proof but needs clarification on the reasoning behind the steps. Key concepts include the properties of congruence and the addition of angles. The discussion highlights the importance of constructing a statement and reason chart to support the proof.
ccmath
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Well, I have a take-home quiz and I need help with 6 geometry proofs. It is due tomorrow (Monday) and I honestly have no clue about any of it... here is the first question, please help me!

Homework Statement


Given: Angle ABG is congruent to Angle DEH
Angle GBC is congruent to Angle HEF

Prove: Angle ABC is congruent to Angle DEF

If you need a picture, let me know! Ill make one in paint.

I also need a statement and reason chart to go with it, I know the concept of making one, just need help solving and making the steps!

Homework Equations





The Attempt at a Solution

 
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ABG and DEH are congruent
GBC and HEF are congruent

angle ABG = angle DEH
angle GBC = angle HEF

AGB + GBC = DEH + HEF

ABC is congruent with DEF

Can you give reasons why this is?
(Hint: the first is given, the second has to do with properties of congruence)
 

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