Find the measure of each numbered angle.

Answer: [tex]m\angle 1=82^{\circ}, m\angle 2=128^{\circ}[/tex]
Step-by-step explanation:
By the same-side interior angles theorem,
[tex]m\angle 1=180^{\circ}-98^{\circ}=82^{\circ}\\\\m\angle 2=180^{\circ}-52^{\circ}=128^{\circ}[/tex]