Answer: Angle MRN equals 11 degrees (11°)
Step-by-step explanation: Please see the picture attached for details.
The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows
Angle M = 180 - 109 {Angles on a straight line equals 180}
Angle M = 71
Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.
Angle MRN can now be calculated as follows;
∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}
∠ MRN = 180 - 169
∠ MRN = 11
Therefore angle MRN measures 11 degrees.
