The angles 
and 
obtained from solving
 |
(1)
|
for 
,
where 
is the Brocard angle. The half-angles 
and 
are given by
 |  |  |
(2)
|
 |  |  |
(3)
|
(Gallatly 1913, p. 98).
Steiner Angles
See also
Brocard AngleExplore with Wolfram|Alpha
References
Gallatly, W. "The Steiner Angles." §137 in The Modern Geometry of the Triangle, 2nd ed. London: Hodgson, p. 98, 1913.Referenced on Wolfram|Alpha
Steiner AnglesCite this as:
Weisstein, Eric W. "Steiner Angles." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SteinerAngles.html