One of the angles of the triangle is 47 degrees, the second is 14 degrees more, find the third angle
February 5, 2021 | education
| In order to find the third angle of a triangle, we will apply the theorem on the sum of the angles of a triangle.
But first of all, let’s remember it.
The triangle sum theorem says that the sum of the angles of a triangle is 180 °.
We know that one of the angles is 47 °, the second is 14 ° greater than the first.
So, the first action is to look for the second corner:
47 ° + 14 ° = 61 °.
Let’s denote by x the degree measure of the third angle.
47 ° + 61 ° + x ° = 180 °;
x = 180 ° – 47 ° – 61 °;
x = 72 ° third corner of the triangle.
Answer: 72 ° is the third corner of the triangle.
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