Question 157882
Two angles are supplementary of each other. Twice one angle is equal to the other angle minus the product of six and eight. 
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Supplementary angles mean that the sum of two angles equals 180 degrees.
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Let x = one angle
and y = the other angle
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Since we have two unknowns we'll need two equations.
From:"Two angles are supplementary of each other." we get:
x+y = 180
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From:"Twice one angle is equal to the other angle minus the product of six and eight." we get:
2x = y - (6*8)
2x = y - 48
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Our "system of equations" then is:
x+y = 180
2x = y - 48
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Using the "hint" let's get y one side of the equation:
for
x+y = 180
y = -x + 180
for
2x = y - 48
2x + 48 = y
y = 2x + 48
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Now, our system of equations are:
y = -x + 180
y = 2x + 48
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Both are now in the "slope-intercept" form of
y = mx + b
where
m is the slope
b is the y-intercept at (0,b)
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The idea is the plot each line on a single graph -- where they intersect is where your answer is.
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I'll solve it algebraically here:
since we have:
y = -x + 180
y = 2x + 48
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we can substitute the first into the second to get:
-x + 180 = 2x + 48
180 = 3x + 48
132 = 3x
44 deg = x (one angle)
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Solving for the other:
x+y = 180
44+y = 180
y = 180 - 44
y = 136 deg (other angle)