Answer:
28 degrees
Step-by-step explanation:
If two lines cross each other, it makes 4 angles, and 2 angles from opposite sides have the same length. Since line KL and line IJ crossed, angle KAI and angle LAJ will have the same angle.
--> Angle LAJ is 62 degrees
If we look closely, there is a triangle ABC, and since the question said that line KL and line FG is perpendicular, the angle ALG will be 90 degrees.
We know that in a triangle, there are three angles, and the angle measures combined equals 180.
Since we know two angles: 90 and 62, we take them away from 180 to find the last angle BCA.
--> 180 - 90 - 62 = 28
--> Angle BCA = 28 degrees
Like I said at the beginning, if two lines cross each other, opposite angles are the same size. So angle x will also be equal to angle BCA, which is 28 degrees.
Angle x = 28 degrees