SOLUTION: In a pair of supplementary angles, the measure of one angle is 2 more than double the other angle. What are the measures of each angle?

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Question 599657: In a pair of supplementary angles, the measure of one angle is 2 more than double the other angle. What are the measures of each angle?
Answer by math-vortex(648) About Me  (Show Source):
You can put this solution on YOUR website!
Hi, there--
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Two angles are supplementary when the sum of their measures is 180 degrees.
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Let x be the measure of the first angle.
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The measure of the second angle is "2 more than double the other angle." We can write that relationship as 2x+2.
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The sum of the angle measures is 180 degrees, so we can write the equation,
x%2B2x%2B2=180
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Now we solve for x.
3x%2B2=180
3x=180-2
3x=178
x=178%2F3
x=59%261%2F3
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The equation x = 59 1/3 means that the first angle measures 59 1/3 degrees. The second angle measures 2 more than double, so its measure is 2*(59 1/3)+ 2 = 120 2/3 degrees.
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Be sure to check your answer. Is the sum of their measures 180 degrees?
59%261%2F3%2B120%262%2F3=180
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Check!
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That's it. Feel free to email via gmail if you have questions about the solution.
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Ms.Figgy
math.in.the.vortex