betzahidaperez betzahidaperez
  • 10-09-2020
  • Mathematics
contestada

1 1 point
What is the measure of the smallest angle in the right triangle below?
(2x)
(x + 6)°
28°
56°
34°
12°

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sqdancefan
sqdancefan sqdancefan
  • 10-09-2020

Answer:

  34°

Step-by-step explanation:

If we assume that the acute angles in the triangle are 2x and (x+6), then we have ...

  2x +(x +6) = 90

  3x +6 = 90 . . . . . . simplify

  x + 2 = 30 . . . . . . . divide by 3

  x = 28 . . . . . . . . . . subtract 2

Then the angles are ...

  2x = 2(28) = 56

  x+6 = 28+6 = 34

The smallest angle is 34°.

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