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Question 501733: 3x + 27 <1=8x-y
<2=3x+2y
<3=6x+y
Find <1
<2+<3=180
<1=<2=180
Answer by cleomenius(959)   (Show Source):
You can put this solution on YOUR website! First, we make two equations
3x + 2y + 6x + y = 180
8x - y + 3x + 2y= 180
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next, we combine like terms, multiply equation 2 by 3, and add the two equations
9x + 3y = 180
11x + y = 180
-33x -3y = -540
-24x = -360
Solve for x
x = 15
equation 1
Solve for y.
9(15) + 3y = 180
135 + 3y = 180
3y = 45
y = 15
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angle 1 = 8(15) - 15 = 105 degrees.
angle 2 = 3(15) + 2(15) = 75 degrees
angle 3 = 6(15) + 15 = 105 degrees.
75 degrees + 105 degrees = 180 degrees.
105 degrees + 75 degrees = 180 degrees.
This does check.
Cleomenius.
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