Answer: x = 68, y = 112
Explanation:
To begin solving, first solve for angle x by writing the problem as an equation. 52 + 60 + x = 180 which is known because the sum of all interior angles of a triangle is equal to 180°
Next, simplify the current equation. 52 + 60 = 112 so your equation now looks like this: 112 + x = 180
Now, you must further simplify the equation using inverse operations. In other words, subtract 112 from either side. 112 - 112 results in nothing while 180 - 112 = 68. So you are left with x = 68
Now that it is known, substitute x for 68 in the problem and use it to solve for y. In order to do this, rewrite the problem as an equation. 68 + y = 180 which is known because the two angles form a line making them supplementary or equal to 180°
As previously, use inverse operations to solve for y. In other words, subtract 68 from either side of the equation. 68 - 68 = 0 while 180 - 68 = 112. This leaves y = 112 as your solution.
So the answer is x = 68, y = 112