SOLUTION: A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles ar

Algebra ->  Angles -> SOLUTION: A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles ar      Log On


   

Question 1016602: A pair of adjacent angles formed by intersecting lines. Angles 1 and 2 below are a linear pair. So are angles 2 and 4, angles 3 and 4, and angles 1 and 3. Linear pairs of angles are supplementary.
If M angle 4 = 4x - 20 and M angle 1 = 2x + 14
What is angle 4?
(I don't know how to put the figure here but I hope you can help me)
Thank you so much in advance.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
The given information in the problem tells us that Angle 1 = Angle 4
:
4x -20 = 2x +14
:
2x = 34
:
x = 17
:
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Angle 4 = 4(17) - 20 = 48 degrees
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:
The algebra behind this is
:
Angle 4 = 4x -20
Angle 1 = 2x +14
:
Angle 1 + Angle 3 = 180
Angle 4 + Angle 3 = 180
:
subtract the two equations
Angle 1 - Angle 4 = =
2x + 14 -4x +20 = 0
-2x = -34
x = 17
: