anonymous
  • anonymous
LINE A|| LINE B M<1=4X M<2=2X-6 USE THE VALUE OF X TO FIND THE MISSING ANGLE MEASURE M<5
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
|dw:1434649037186:dw|
Vocaloid
  • Vocaloid
since angle 1 and angle 2 lie on a straight line, their sum must be 180 angle 1 and angle 5 are the same, because they are corresponding angles
anonymous
  • anonymous
AND

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Vocaloid
  • Vocaloid
... that's all you need to know, really... M<1 + M<2 = 180, solve for x and find angle 1
anonymous
  • anonymous
DO I HAVE TO SUBTRACT
Vocaloid
  • Vocaloid
... I don't think you quite understand M<1 = 4x, right? M<2 = 2x - 6, right? M<1 + M<2 = 180, solve for x
anonymous
  • anonymous
SO WILL IT BE 6X-6=180
Vocaloid
  • Vocaloid
great! now solve for x
anonymous
  • anonymous
6X=186/6=31
Vocaloid
  • Vocaloid
ok, so we have x, but we're not done yet! we know that angle 1 is 4x, right? so what is the value of 4x when you plug in 31 for x?
anonymous
  • anonymous
124
Vocaloid
  • Vocaloid
great, angle 1 is 124 degrees the question wants to know the value of angle 5, and we know from the diagram that angle 1 is the same as angle 5, so angle 5 is 124 degrees as well good job

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