  We study metric spaces with bounded rough angles. E. Le Donne, T. Rajala and
E. Walsberg implicitly used this notion to show that infinite snowflakes can
not be isometrically embedded into finite dimensional Banach spaces.
  We show that bounded non-rectifiable self-contracted curves contain metric
subspaces with bounded rough angles. Which provides rectifiability of bounded
self-contracted curves in a wide class of metric spaces including reversible
$C^{\infty}$-Finsler manifolds, locally compact $CAT(k)$-spaces with locally
extendable geodesics and locally compact Busemann spaces with locally
extendable geodesics.
  We also extend the result on non embeddability of infinite snowflakes to this
class of spaces.
