Answer: According to the diagram, we can construct the following mathematical equations:
[tex]\begin{gathered} 6y=60^{\circ}\rightarrow(1) \\ \\ (2x+9)=(5x-12)\rightarrow(2) \end{gathered}[/tex]
Solving the equation (1) and (2) gives the following answer:
[tex]\begin{gathered} 6y=60^{\circ}\rightarrow y=\frac{60}{6}=10 \\ \\ y=10^{\circ} \\ \\ \\ \begin{equation*} (2x+9)=(5x-12) \end{equation*} \\ \\ 2x+9+12=5x\rightarrow2x+21=5x \\ \\ 21=5x-2x=3x \\ \\ x=\frac{21}{3}=7 \\ \\ x=7 \\ \\ \end{gathered}[/tex]
The answer therefore is:
[tex]\begin{gathered} x=7 \\ \\ y=10 \end{gathered}[/tex]
