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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?

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JoseyP Feb 24, 2019

#1**+2 **

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**.**5^{o} 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 90^{o} in each triangle.

So angle MRS is 180^{o} – (90^{o} + 16.5^{o}) = 73**.**5^{o}

Similarly TRS is also 73**.**5^{o}

Add angles MRS and TRS = 73.5^{o} + 73.5^{o} to get angle MRT is 147^{o}

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Guest Feb 24, 2019