Question 216198
Note: if 'x' is the given angle, then {{{90-x}}} is the complement and {{{180-x}}} is the supplement. 



So the equation should be {{{4(90-x)-30=180-x}}}



{{{4(90-x)-30=180-x}}} Start with the given equation.



{{{360-4x-30=180-x}}} Distribute.



{{{-4x+330=180-x}}} Combine like terms on the left side.



{{{-4x=180-x-330}}} Subtract {{{330}}} from both sides.



{{{-4x+x=180-330}}} Add {{{x}}} to both sides.



{{{-3x=180-330}}} Combine like terms on the left side.



{{{-3x=-150}}} Combine like terms on the right side.



{{{x=(-150)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=50}}} Reduce.



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Answer:


So the solution is {{{x=50}}} which means that the angle is 50 degrees.