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Triangle SME is inscribed in a circle with center O. OE = 8, which is the radius. Thus, OM = 8 as well. Triangle SME is a right-angled triangle at M, as MT is tangent to the circle at M. Therefore, angle OMT = 90 degrees. In triangle OME, OE = OM = 8, so it is an isosceles triangle. The line segment OE is a radius. The line segment SE is a chord. The length of the chord SE is not given. The angle subtended by arc ME at S is not given. The angle subtended by arc ME at the center O is angle MOE. In right-angled triangle OMT, we have OM = 8. We need to find MT = x. We need more information to solve this problem.