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The measure of one angle of a triangle is 28 more than the measure of the smallest angle of the triangle. The measure of the third angle is twice the measure of the smallest angle. Find all three measures and classify the triangle by angles.

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sqdancefan

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Answer:

  • 38°, 66°, 76°
  • acute triangle

Step-by-step explanation:

Let x represent the smallest angle. Then the other two angles are (x+28) and 2x. Their sum is ...

  x + (x+28) +(2x) = 180

  4x = 152 . . . .  subtract 28

  x = 38 . . . . . . .divide by 4

  x+28 = 66 . . . find the other angles

  2x = 76

The three angles are 38°, 66°, 76°. The largest angle is acute, so it is an acute triangle.

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