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  • 25-03-2021
  • Mathematics
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The ratio of the interior angles of a triangle is 2 : 3 : 4. What are the angle measures? Write the angle measures from least to greatest.

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sqdancefan
sqdancefan sqdancefan
  • 26-03-2021

9514 1404 393

Answer:

  40°, 60°, 80°

Step-by-step explanation:

The total of ratio units is 2+3+4 = 9.

The total of angles in a triangle is 180°, so each ratio unit stands for 180°/9 = 20°.

The angle measures are ...

  20° × 2 = 40°

  20° × 3 = 60°

  20° × 4 = 80°

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