
In the diagram above, JKL is a tangent to the circle GHIK at K.
The correct answer is: B
Explanation
\(\angle\)KGL = 87º (exterior angle of a cyclic quadrilateral)
\(\angle\)KGL + \(\angle\)GLK + \(\angle\)LKG = 180º
87º + x + 38º = 180º
x = 180 - 87 - 38 = 55º