Answer:
A) 102
Step-by-step explanation:
Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.
Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:
2x + 50 = x + 76
Then, we need to find the x value, so solve from there.
2x + 50 = x + 76
x + 50 = 76 [Subtract x from both sides of the equal sign]
x = 26 [Subtract 50 from both sides of the equal sign]
So now that we have our x value, all we have to do is plug in that value to the <2 equation.
2x + 50
2(26) + 50
52 + 50
102
Hope this helps! I apologize if I get it incorrect,
