Complementary and supplementary angles please answer

x=58

Step-by-step explanation:

The 2 angles are inside of a right angle, or 90 degree angle. We know this because of the little square in the corner that represents a right angle.

Therefore, the 2 angles, ∠XOY and ∠ZOY must add to 90 degrees.

∠XOY+∠ZOY+90

We know that ∠XOY is 32 degrees, and ∠ZOY is x degrees. We can substitute 32 in for ∠XOY and x in for ∠ZOY.

32+x=90

Now, we have to find x. To do this, we need to get x by itself.

32 is being added on to x. To reverse this, subtract 32 from both sides

32-32+x=90-32

x=90-32

x=58