Answer:
angle x = 28 degrees
Step-by-step explanation:
Because of vertical angles, angle IAK and angle BAC are equal, and angle GCJ and angle ACB are also equal due to vertical angles
Since KL is perpendicular to FG, angle ABC is 90 degrees
ABC is a right triangle and acute angles in a right triangle are equal to 90 degrees
This means that angle BAC + angle ACB = 90 degrees
angle BAC = 62 degrees and angle ACB = x degrees
62 + x = 90
x = 28 degrees
