# The degree measures of the two outer corners of the triangle are equal to 239

The degree measures of the two outer corners of the triangle are equal to 239 degrees and 87 degrees. find the third outer corner of the triangle.

First, let’s find the values of all the interior angles of this triangle.

Since any internal angle of a triangle and any corresponding external angle of a triangle add up to 180 °, the values of the internal angles of this triangle corresponding to external angles equal to 239 ° and 87 ° are, respectively, 180 – 239 = -59 ° and 180 – 87 = 93 °.

Since the value of the inner angle of the triangle cannot be negative, this problem has no solution.

Answer: this problem has no solution.

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