Trigonometrical Ellipse

Geometry Level 4

For the ellipse $$2x^2-2xy+4y^2 - (3+\sqrt 2) = 0$$, Find the inclination of it's major axis with the x axis in a coordinate plane.

The Answer is in the form of $$\dfrac {180}{a}$$ degrees where a is an integer. What is the value of a?

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