One of the angles of a triangle is 110 °. Can the outer corner of a triangle, which is not adjacent to it, be equal to 35 °?
| February 5, 2021 | education
According to the outside angle theorem, the outside angle is equal to the sum of two angles of a triangle that are not adjacent to it.
The sum of the angles of a triangle is 180.180 – 110 = 70.70 is the sum of the two angles of a triangle that are not adjacent to the given external angle. And by the outer angle theorem, the outer angle is 70 degrees.
70 is not equal to 35, so the answer to this question is negative. The outer corner of a triangle that is not adjacent to an angle of 110 cannot be equal to 35 °.
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