Answer:
A. [tex]m\angle MNR=16^{\circ}[/tex]
Step-by-step explanation:
We have been given a diagram of a triangle. We are asked to find the measure of angle MRN.
We can see that angle that measures 109 degrees is an exterior angle of triangle MNR.
We know that exterior angle of a triangle is equal to the sum of two non-adjacent interior angles of the triangle.
We can set an equation as:
[tex]93^{\circ}+m\angle MNR=109^{\circ}[/tex]
[tex]93^{\circ}-93^{\circ}+m\angle MNR=109^{\circ}-93^{\circ}[/tex]
[tex]m\angle MNR=16^{\circ}[/tex]
Therefore, the measure of angle MNR is 16 degrees and option A is the correct choice.
