tina23lb
tina23lb tina23lb
  • 19-05-2020
  • Mathematics
contestada

Angle 1 and 2 are linear pair. If m<1=x-9 and m<2=x+47 find the measure of each angle

Respuesta :

cristhiansanchez94 cristhiansanchez94
  • 25-05-2020

Answer:

m1 = 62°, m2 = 118°

Step-by-step explanation:

The definition of a linear pair of angles is a pair of angles that are adjacent and add up to 180°.

Then, we have the following equation

[tex]x-9+x+47 =180 [/tex]

Then,

[tex]2x+38=180[/tex]

Subtracting 38 on both sides

[tex] 2x = 180-38 = 142[/tex]

Dividing by two, we get x = 71. Then m1 = 71-9 = 62, m2 = 71+47=118[/tex]

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