Question

M_FGW = 40°, mZWGH = 28x+ 6,and m_FGH = 38x + 6. Find mzJGH.HGITA) 1189C) 4°B) 3°D) 126°

Answer 1

`\begin{gathered} m\angle FGW=40\text{ degree} \\ m\angle WGH=28x+6 \\ m\angle FGH=38x+6 \\ m\angle WGH=? \\ m\angle FGW+m\angle WGH=m\angle FGH \\ 40+28x+6=38x+6 \\ 46+28x=38x+6 \\ 46-6=38x-28x \\ 40=10x \\ x=(40)/(10) \\ x=4 \\ m\angle WGH=28(4)+6 \\ m\angle WGH=112+6 \\ m\angle WGH=118\text{ degree} \end{gathered}`