Respuesta :

jeremiahkevinm

Answer:

Let us consider that the smallest angle is 'x'.

According to the given ratio, the four angles are:

  1. x
  2. 2x
  3. 3x
  4. 4x

Now, for any quadrilateral, the sum of the all four angles should be equal to 360°.

So,

        x + 2x + 3x + 4x = 360°

        10x = 360°

         x = 36°.

Thus, the four angles are:

  1. x = 36°
  2. 2x = 2 × 36 = 72°
  3. 3x = 3 × 36 = 108°
  4. 4x = 4 × 36 = 144°