SOLUTION: find the measures of two supplementary angles with the measures (2z-3)° and (4z)°

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Question 158292: find the measures of two supplementary angles with the measures (2z-3)° and (4z)°
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Remember, supplementary angles add to 180 degrees. So this means that 2z-3%2B4z=180

2z-3%2B4z=180 Start with the given equation.


-3%2B6z=180 Combine like terms on the left side.


6z=180%2B3 Add 3 to both sides.


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


z=%28183%29%2F%286%29 Divide both sides by 6 to isolate z.


z=61%2F2 Reduce.


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2z-3 Go back to the first angle


2%2861%2F2%29-3 Plug in z=61%2F2


122%2F2-3 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%2861%2F2%29 Plug in z=61%2F2


244%2F2 Multiply


122 Reduce


So the second angle is 122 degrees



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Answer:

So the two angles are 58 and 122 degrees