The outer corner of the triangle is 115 degrees. One of the two inner corners not adjacent

| July 17, 2021 | education

The outer corner of the triangle is 115 degrees. One of the two inner corners not adjacent to the outer corner is 37 degrees greater than the other. Find the inner corners of the triangle.

Answer: 65 degrees, 102 degrees, 13 degrees
Decision:
1) find the angle of the triangle adjacent to the outer corners of 115 degrees. The sum of these angles is 180 degrees, which means that to find the internal angle, you need to subtract 115 from 180. the inner angle of the triangle is 180-115 = 65 degrees
2) find the angle of the triangle not adjacent to the given one. According to the conditions of the problem, it is 37 degrees larger than the inner corner adjacent to the outer one. Those. 65 + 37 = 102 degrees
3) find the third corner. The sum of the interior angles of a triangle is 180 degrees. Those. the third angle is 180-65-102 = 13 degrees



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