Question

I need help approaching 5 and 6 i onto understand it

Answer 1

Angle A and angle X are congruent because the triangles are similar.

$6x-4=2x+28$

Then, we solve for x.

$\begin{gathered} 6x-2x=28+4 \\ 4x=32 \\ x=\frac{32}{4} \\ x=8 \end{gathered}$

We use this value to find angle C.

$m\angle C=4x+17=4(8)+16=32+17=49$

Therefore, angle C measures 49°.