savannahreyes2009 savannahreyes2009
  • 03-09-2021
  • Mathematics
contestada

1. Is a triangle with angle measures 52°, 16º,
and 94° possible? Explain pls

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DᴀʀᴋPᴀʀᴀᴅᴏx
DᴀʀᴋPᴀʀᴀᴅᴏx DᴀʀᴋPᴀʀᴀᴅᴏx
  • 03-09-2021

[tex]\large \mathfrak{Solution : }[/tex]

In a triangle the sum of measures of interior angles should be equal to 180° but here :

  • [tex]52 \degree+ 16\degree + 94\degree[/tex]

  • [tex]162\degree[/tex]

the sum of these angles = 162 °, therefore a triangle with these angle measures isn't possible.

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