Respuesta :

Answer: x = 27.5

Step-by-step explanation:

The angles of a triangle add up to 180°.

Given the angles, set them equal to 180

2x - 5 + 3x + 20 + 2x = 180

Simplify the equation

2x - 5 + 2x + 20 + 2x = 180

6x + 15 = 180

Solve for x

6x + 15 = 180

     - 15    -15

6x = 165

divide both sides by 6

x = 27.5

9514 1404 393

Answer:

  x = (23 4/7)°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  (3x+20°) +(2x -5°) +2x = 180°

  7x +15° = 180°

  7x = 165° . . . . . . . . subtract 15°

  x = 23 4/7° . . . . . . divide by 7

_____

Check

3x +20° = 90 5/7°

2x-5° = 42 1/7°

2x = 47 1/7°

The total is 179 7/7° = 180°, as required.

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