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

September 30, 2021 | education

| **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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