Angle A and angle X are congruent because the triangles are similar.
[tex]6x-4=2x+28[/tex]
Then, we solve for x.
[tex]\begin{gathered} 6x-2x=28+4 \\ 4x=32 \\ x=\frac{32}{4} \\ x=8 \end{gathered}[/tex]
We use this value to find angle C.
[tex]m\angle C=4x+17=4(8)+16=32+17=49[/tex]
Therefore, angle C measures 49°.
