What is the measure of Angle M R N? Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.

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.

16

Step-by-step explanation:Take 98 and subtract it from 109

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