Question

Triangles- Angles & Classifying
Instructions in photo!

Answer 1

`angle Q = about 45\\\\\\angle R= about 19\\\\angle S= about 127`

Looking at these angles, the type of this triangle is an obtuse triangle.

Explanation:

First, sum up all the angles to 180 (because any triangle's angles sum up to 180).

`4x-17 +x+5+10x-4 = 180`

Next, combine like terms:

`15x -16 = 180`

Solve:

`15x = 196\\\\x = 196/15`

After that, plug x into the angles equations

`angle Q \\4*(196/15) -7 = about 45\\\\\\angle R\\196/15 + 6 = about 19\\\\angle S\\10*196/15 - 4 = about 127`

Since 127 is obtuse, this triangle is obtuse.

I hope this helps, but I am unsure if it is correct.