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 [tex]52+59+y=180[/tex]. To solve for y, subtract [tex]52[/tex] and [tex]59[/tex] from the left hand side and rights hand side of the equation. now you know the value is [tex]y=180-52-59=69[/tex]. 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 [tex]x+69+63=180[/tex]. To solve for x, subtract [tex]69+63[/tex] from both sides. [tex]x=180-69-63=48[/tex]. So you know that [tex]x=48[/tex] degrees.
