Looks can be deceiving

Geometry Level 4

Construct a triangle \(ABC\) with \(\angle BAC=74^{\circ}\). Consider the mixtilinear circle with respect to \(A\) (The circle tangent to \(AB\), \(AC\) and the circumcircle internally). Let the points of tangency to \(AB\) and \(AC\) be \(X\) and \(Y\). Let the midpoint of \(XY\) be \(M\). Find \(\angle MAB\) in degrees.


  • If you think no set angle occurs, then answer 1337.
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