Let the circles
and
intersect at two points
and
, and let t be a common tangent of
and
that touches
and
at
and
respectively. If
and
, evaluate the angle
.
%V0
Let the circles $k_1$ and $k_2$ intersect at two points $A$ and $B$, and let t be a common tangent of $k_1$ and $k_2$ that touches $k_1$ and $k_2$ at $M$ and $N$ respectively. If $t\perp AM$ and $MN=2AM$, evaluate the angle $NMB$.
Školjka