Answer:
[tex]angle Q = about 45\\\\\\angle R= about 19\\\\angle S= about 127[/tex]
Looking at these angles, the type of this triangle is an obtuse triangle.
Step-by-step explanation:
First, sum up all the angles to 180 (because any triangle's angles sum up to 180).
[tex]4x-17 +x+5+10x-4 = 180[/tex]
Next, combine like terms:
[tex]15x -16 = 180[/tex]
Solve:
[tex]15x = 196\\\\x = 196/15[/tex]
After that, plug x into the angles equations
[tex]angle Q \\4*(196/15) -7 = about 45\\\\\\angle R\\196/15 + 6 = about 19\\\\angle S\\10*196/15 - 4 = about 127[/tex]
Since 127 is obtuse, this triangle is obtuse.
I hope this helps, but I am unsure if it is correct.
