Answer:
x = 18
∠A = 83
Step-by-step explanation:
Since you have a line intersecting two parallel lines, the angles formed from the intersection will be equal to 180. This means that you can add up the two angle measures and set them equal to 180.
(6x - 35) + (3x + 53) = 180
6x - 35 + 3x + 53 = 180
9x + 18 = 180
(9x + 18) - 18 = 180 - 18
9x = 162
x = 18
Now to solve for ∠A, plug in the x-value and solve.
∠A = 6x - 35
∠A = 6(18) - 35
∠A = 118 - 35
∠A = 83
