Given: line ad is congruent line cd; angle 3 is congruent to angle 4prove: line db bisects angle abc

Step-by-step explanation:

Given : AD=CD and

           ∠3=∠4

To prove : Line DB bisects ∠ABC

                i.e.∠ABD=∠CBD

Proof :  Consider ΔABD and ΔCBD,

and

and

So, ΔABD ≅ ΔCBD (By SAS criterion}

Hence , By CPCT (corresponding part of congruent triangle}

∠ABD=∠CBD

Therefore, Line DB bisects ∠ABC.

the answer is 175.4379

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