[ Quadrilateral: calculations, metric relations.]

Let $\alpha, \beta, \gamma$ and $\delta$ be the degree measures of the angles of some convex quadrilateral. Can three numbers always be chosen from these four numbers such that they express the lengths of the sides of some triangle (for example, in meters)?
Let's consider, for example, the quartet of numbers: $28,50,110,172$. A convex quadrilateral with such angles exists, since their sum is 360 and each number is less than 180.

At the same time, for each triplet of these four numbers, the triangle inequality does not hold: $28+50<110<$ $172 ; 28+110<172 ; 50+110<172$.

It is clear that there are many other examples (including non-integer ones).

## Otвет

no, not always.