The arc ML is 98 degrees. find the angle MLK between the diameter KL and the chord ML.

Since the degree measure of the arc ML of the circle centered at point O is 98, the central angle MOL is also 98.

In the MOL triangle, the sides OM and OL are the radii of the circle, which means MO = AL, and the MOL triangle is isosceles.

In an isosceles triangle, the angles at the base are equal, the angle LMO = MLO.

Then the angle LMO = MLO = (180 – 98) / 2 = 41.

Since KL is the diameter of the circle, the angle MLK = MLO = 41.

Answer: Angle MLK = 41.