Using the exterior angles theorem, the measure of the exterior angle(k) is 140 degrees.
How to find the exterior angles of a triangle?
The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
The two remote interior angles are 76 degrees and 64 degrees.
Therefore,
76 + 64 = k
k = 140 degrees.
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