Line MS and line TS are tangent to circle R.
A. What is the measure, in degrees, of ∠MRT?
B. What is the measure, in degrees, of ∠MAT?
Draw the line from S to R. This gives you 16.5o out there in each of the two triangles that are formed.
A tangent to a circle is perpendicular to the radius drawn to the point, so that gives you 90o in each triangle.
So angle MRS is 180o – (90o + 16.5o) = 73.5o
Similarly TRS is also 73.5o
Add angles MRS and TRS = 73.5o + 73.5o to get angle MRT is 147o
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