Answer:
x = 32 degrees
Step-by-step explanation:
Angle IAK and Angle CAB are vertical angles, meaning they are congruent to one another. So since Angle IAK is 58 degrees, so is Angle CAB.
Then, you can see that Angle ABC is 90 degrees (the information given also implies this). So to find x, you need to add 58 and 90 together, and subtract the sum from 180.
90 + 58 = 148
180 - 148 = 32
x = 32 because the angle we just solved for (Angle ACB is a vertical angle to x, meaning they are congruent to one another).
