Question 211837
Let the 3 angles of the triangle be A,B,C.
You know that since it is a triangle, you can write:

Equation #1: {{{A+B+C=180}}}
You are given the following information:
Equation #2: {{{A=3B-3}}}
Equation #3: {{{C=4(A+2)}}}
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You have 3 equations and 3 unknowns. Anytime you have at least as many equations as unknowns, you can solve the problem!
Substitute the expression for C from Equation #3 into Equation #1:
{{{A+B+4A+8=180}}}
Solve for B in terms of A:
{{{5A+B=172}}}
Equation #4: {{{B=172-5A}}}
Substitute Equation #4 into Equation #2:
{{{A=3(172-5A)-3}}}
Solve for A:
{{{A=516-15A-3}}}
{{{16A=513}}}
{{{highlight(A=32.0625)}}}
Plug this value for A into Equation #2 and solve for B:
{{{32.062=3B-3}}}
{{{3B=35.062}}}
{{{highlight(B=11.6875)}}}
Plug the value for A into Equation #3 and solve for C:
{{{C=4(32.0625+2)}}}
{{{highlight(C=136.25)}}}
Plug these values for A, B, and C into Equation #1 and make sure it still holds true. I will leave that part to you.
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Good Luck,
tutor_paul@yahoo.com