To solve for angle A, we need to find the value of x. First, we need to find the interior angles of the triangle. We already know 2 of them, x+57 and 63+x but we need the third one. We can do that by subtracting 96 from 180 which is 84.
So now that we have the three interior angles of the triangle, we can make an equation. We already know that the sum of interior angles of a triangle is 180.
84+(x+57)+(63+x) = 180
Simplifying, we get:
204+2x=180
2x = -24
x=-12
Plugging x = -12 into x+57 gives 45 degrees. So, the answer is B.
