how to prove a congruent angle

Question

givens:

<1=x+7

<2=2x-3

<ABC=x*2

<D=5x-4

show that <ABC is congruent to <D

Answer 1

<ABC is congruent to <D when

 

x² = 5x - 4

 

x² -5x + 4 = 0

 

(x - 4)(x - 1) = 0

 

x = 4 or x = 1

 

But without additional information, we cannot provide a proof.

My guess is we need a diagram