In the figure measure of arc IJK=296 given
So remaining angle 360-296=64 degrees
We know by circle theorem : An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc
So <KIL= half of 64=32 degrees
< KIL= 32 degrees.
A tangent is perpendicular to the radius and hence the diameter.
<JIL=90
< JIK= <JIL-<KIL
<JIK=90- 32
< JIK=58 DEGREES.