The classification of the triangle is scalene, the value of x is 7 and the measures of the angles are 106, 47 and 27
How to classify the triangle, calculate x and the measures of the angles
From the question, we have the following parameters that can be used in our computation:
The triangle
The sum of angles in a triangle is 180 degrees
So, we have
15x + 1 + 6x + 5 + 4x - 1 = 180
Evaluate the like terms
This gives
25x = 175
So, we have
x = 7
This means that
15x + 1 = 15 * 7 + 1 = 106
6x + 5 = 6 * 7 + 5 = 47
4x - 1 = 4 * 7 - 1 = 27
Hence, the triangle is a scalene triangle