Question

If m<1= 6n+1 and m<4=4n+19, what is the m<2?

Answer 1

$m\angle1=6n+1\\m\angle4=4n+19\\\\m\angle1=m\angle4\\\\\text{therefore}\\\\6n+1=4n+19\ \ \ |-1\\\\6n=4n+18\ \ \ \ |-4n\\\\2n=18\ \ \ \ |:2\\\\n=9\\\\m\angle1=6\cdot9+1=55^o\\\\m\angle2=m\angle1\ \text{therefore}\ m\angle2=55^o$