Answer:
x=11
Step-by-step explanation:
Vertical angles are congruent, so m∠A = m∠B.
4x+8 = 5x-3
Subtract 5x from both sides.
-1x+8=-3
Subtract 8 from both sides to isolate the variable.
-1x=-11
Divide both sides by -1 to solve for x.
x=11
Plug in 11 for x into m∠A=(4x+8)=(4(11)+8)=(44+8)=52.