Well, all the angles of a triangle are equal to 180.
First, we can find what the angle in the corner is because we know the outside angle.
180-111= 69
So,
(x-5)+3x+69= 180
We can solve it now.
Subtract both sides by 69.
(x-5)+3x= 111
Add five to the other side.
x+3x= 116
4x= 116
Divide both sides by 4.
x= 29
Plug those into the equations for the angles.
3(29)= 87
(87-5)= 82
87,82,69 are the measures of the angle.
I hope this helps!
~cupcake