Answer:
x = 12
∠A = 144°
Step-by-step explanation:
Because of the alternate exterior angles theorem, ∠A and ∠B are equal, so:
10x + 24 = 6x + 72
subtract 24 from both sides
10x = 6x + 48
subtract 6x from both sides
4x = 48
divide both sides by 4
x = 12
So ∠A is
10(12) + 24 = 120 + 24 = 144
∠A and ∠B are both 144, no need to do this to ∠B as like i said before, they are congruent, but just in case
6(12) + 72 = 72 + 72 = 144
