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Geometry Proofs Involving Triangles

Geometry Problems: Solve the proofs in question 7 and question 8.

Number 7:

We are given that AE = DB, FG = CG, and angle FGE = angle CGD, and we want to prove that angle A = angle B.

(Note: AE = DB not AE = BE.)

Number 8:

We are given that DB bisects angle ADC and angle 3 = angle 4, and we want to prove that angle 5 = angle 6.

See attached file for full problem description and diagrams.

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Number 7:
We are given that AE = DB, FG = CG, and angle FGE = angle CGD, and we want to prove that angle A = angle B.

(1) Because FG = CG, we know that triangle FGC is isosceles. Therefore, angle F = angle C (by the isosceles triangle theorem: the angles opposite the sides of equal ...

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