Triangle ABC~Triangle EFG, angle C=4x+30, and angle G=5x+10. Determine the value of X?

Question

anonymous · Answer

Im not sure how to start this

accessdenied · Answer

If $\triangle ABC \sim \triangle EFG$, then what is true about the angles at the corresponding vertices?

anonymous · Answer

They are congruent?

accessdenied · Answer

That is correct.  So, since $\angle C$ and $\angle G$ are corresponding angles, we can just use the fact that they are congruent to set up the equality.
  $m \angle C = m \angle G$     Substitute the known information and solve.  :)

anonymous · Answer

Awsome! You are a great teacher :D

accessdenied · Answer

Thanks!  :D
So, what do you get as the answer?

anonymous · Answer

X=20

accessdenied · Answer

Yeah, that is correct.  Just making sure there were no weird errors and we got the same result.  :P