Answer:
[tex]m=46^{\circ},\\n=22^{\circ}[/tex]
Step-by-step explanation:
From the isosceles-base theorem, the base angles of two equal legs in a triangle must be equal. Thus, we can set the up the following equation to solve for [tex]n[/tex]:
[tex]136+n+n=180,\\136+2n=180,\\2n=44,\\n=\boxed{22^{\circ}}[/tex]
Now that we've found [tex]n[/tex], we can set up the following equation with respect to the largest triangle:
[tex]90+n+m+n=180,\\90+22+m+22=180,\\134+m=180,\\m=\boxed{46^{\circ}}[/tex]
