The best way to solve for x is to first solve for y and then subtract values. The top of "line" of the 3 angles togethers add up to 180 degrees. So from this, you can deduct this equation into \(52+59+y=180\). To solve for y, subtract \(52\) and \(59\) from the left hand side and rights hand side of the equation. now you know the value is \(y=180-52-59=69\). So the value of y is 69 degrees.
Now you know two angles of a triangle and the sum of the angles in a triangle is 180 degrees. So the equation is \(x+69+63=180\). To solve for x, subtract \(69+63\) from both sides. \(x=180-69-63=48\). So you know that \(x=48\) degrees.
