kingnoctis15
kingnoctis15 kingnoctis15
  • 26-10-2021
  • Mathematics
contestada

A triangle has an angle that measures 40°. The other two angles are in a ratio of 11:17. What are the measures of those two angles?

Respuesta :

lor067ewp lor067ewp
  • 27-10-2021

Answer:

55° and 85°

Step-by-step explanation:

Triangle angles = 180

The equation that you can write is

40° + 11x + 17x = 180°      

40° + 28x = 180°    

28x = 180° - 40°  

28x = 140°  

x = 140/28

x = 5  

The ratio 11: 17 means 11x : 17x  

So 11(5) =   55°  

      17(5) = 85°    

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