Answer:
[tex]x=44[/tex]
m∠1=118°
m∠2=62°
Step-by-step explanation:
Part A: They are supplementary angles, so
[tex]2x+30+62=180[/tex]
Simplify like terms,
[tex]2x+92=180[/tex]
We subtract 92,
[tex]2x=88[/tex]
Divide by 2,
[tex]x=44[/tex]
Part B:
[tex]m[/tex]∠[tex]1=2x+30[/tex] because ∠2 is vertical to 2x+30.
Plug in 44 for x,
[tex]m[/tex]∠[tex]1=2(44)+30[/tex]
Simplify,
[tex]m[/tex]∠[tex]1=118[/tex]
[tex]m[/tex]∠[tex]2=62[/tex]° because it is a vertical angle to the 62° angle.
