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1. The angles in an obtuse triangle are x' +45, 2x +95, and 3x+48. Find the measure of the
angles of the triangle,

Sagot :

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9514 1404 393

Answer:

  • 43 2/3°
  • 92 1/3°
  • 44°

Step-by-step explanation:

The sum of angles in any triangle is 180°.

  (x +45) +(2x +95) +(3x +48) = 180

  6x +188 = 180 . . . . . . . . collect terms

  6x = -8 . . . . . . . . . . . subtract 188

  x = -4/3 . . . . . . . . divide by 6

Then the angles are ...

  x +45 = -4/3 +45 = 43 2/3°

  2x +95 = 2(-4/3) +95 = 92 1/3° . . . . the obtuse angle

  3x +48 = 3(-4/3) +48 = 44°

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