Question 158292
Remember, supplementary angles add to 180 degrees. So this means that {{{2z-3+4z=180}}}


{{{2z-3+4z=180}}} Start with the given equation.



{{{-3+6z=180}}} Combine like terms on the left side.



{{{6z=180+3}}} Add {{{3}}} to both sides.



{{{6z=183}}} Combine like terms on the right side.



{{{z=(183)/(6)}}} Divide both sides by {{{6}}} to isolate {{{z}}}.



{{{z=61/2}}} Reduce.



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{{{2z-3}}} Go back to the first angle



{{{2(61/2)-3}}} Plug in {{{z=61/2}}}



{{{122/2-3}}} Multiply 



{{{61-3}}} Reduce



{{{58}}} Subtract



So the first angle is 58 degrees



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{{{4z}}} Go back to the second angle



{{{4(61/2)}}} Plug in {{{z=61/2}}}



{{{244/2}}} Multiply 



{{{122}}} Reduce



So the second angle is 122 degrees




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Answer:


So the two angles are 58 and 122 degrees