chellehathawayou14t3 chellehathawayou14t3
  • 25-10-2017
  • Mathematics
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Find all the angle measures showing all work. Which property are you using to set up your equations?

Find all the angle measures showing all work Which property are you using to set up your equations class=

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pmayl
pmayl pmayl
  • 25-10-2017
Due to the Property of Opposite Angles, Angle 2 = Angle 4
Therefore: 
x + 16 = 4x - 5                 Add 5 to both sides, subtract x from both sides
21 = 3x 
x = 7 
 
Substituting: 
Angle 2 = 7 +16 = 23°  
Angle 4 = Angle 2 = 23°        Again, Property of Opposite Angles

Due to the Property of Supplementary Angles. Angle 1 + Angle 2 = 180°
23 + Angle 1 = 180
Angle 1 = 157° 

Due to the Property of Opposite Angles, Angle 1 = Angle 3 = 157°


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