The angles of a quadrilateral are $2x, 3x, 4x$ and $6x$. The smallest angle is:

The angles of a quadrilateral are $2x, 3x, 4x$ and $6x$. The smallest angle is:
  1. $24^{\circ}$
  2. $36^{\circ}$
  3. $48^{\circ}$
  4. $72^{\circ}$

Solution

Sum $= 15x = 360 \Rightarrow x = 24^{\circ}$. Smallest $= 2x = 48^{\circ}$.

Asked in: IMO

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