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(v) If the angles of a triangle are in the ratio 2:3:4,determine the three angles.​

Answer»

᯽︎Question:-

  • If the angles of a triangle are in the ratio 2:3:4,DETERMINE the three angles.

✻Concept used:-

  • ANGLE SUM property of triangle
  • We know that the sum of angles of a triangle is 180°.

✵To find:-

  • The angles of the triangle

✾Solution:-

  • LET the angles be 2x,3x,4x

➥2x+3x+4x=180°

➥9x=180°

\bf \: ➥x =  \frac{180}{9}

➥x= 20

\boxed{ \underline{ \mathfrak{ \green{Therefore \:  the  \:  angles  \: are:-}}}}

  • 2x= 2×20=40°
  • 3x=3×20=60°
  • 4x=20×4=80°

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