The two corners of the triangle are 40 and 130. Find the outside angle at the third vertex.

To solve this problem, remember that the outer angle of the triangle at a given vertex is the angle adjacent to the inner corner of the triangle at this vertex. Remember the theorem: the outer angle of a triangle is equal to the sum of two inner angles that are not adjacent to it. In this case, the first and second corners are not adjacent to the outer corner, therefore the outer angle is equal to:
40 + 130 = 170 degrees.
Answer: 170 degrees.

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