# No Integration Necessary (Part 2)

Geometry Level 4

$\dfrac{x^2}{25} + \dfrac{y^2}{4} = 1$

The figure above depicts the portion of the ellipse whose equation is given above, which lies in the first quadrant.

Find the acute angle (in degrees) that a line passing through the origin makes with the $$x$$-axis, such that the line divides the quarter-ellipse into two segments with equal areas.