Considering that the sum of the internal angles of a triangle is of 180º, it is found that x = 20.
The sum of the measures of the internal angles of a triangle is of 180º.
In this problem, the angles are:
Hence:
[tex]46 + 71 + 4x - 17 = 180[/tex]
[tex]4x + 100 = 180[/tex]
[tex]4x = 80[/tex]
[tex]x = \frac{80}{4}[/tex]
[tex]x = 20[/tex]
A similar problem, involving the sum of the internal angles of a triangle, is given at https://brainly.com/question/13387714
