# 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.
×