Answer:
x = 9, y = 2.5
Step-by-step explanation:
[tex]m\angle T+m\angle P=180^o\\\\(12x-4)^o+(7x+13)^o=180^o\\\\12^o\cdot x-4^o+7^o\cdot x+13^o=180^o\\\\(12^o+7^o)\cdot x=180^o+4^o-13^o\\\\19^o\cdot x=171^o\\\\x=9[/tex]
[tex]MO=\dfrac{TR+AP}2\\\\\\16y+1=\dfrac{12y+1+18y+6}2\\\\(16y+1)\cdot2=30y+7\\\\32y+2-30y=7\\\\2y=7-2\\\\2y-5\\\\y=2.5[/tex]
