Finding Angle C in Intersecting Lines

In the figure below, two lines intersect creating angles marked as angle A, angle B, angle C, and angle D. Angle A measures $$x$$ degrees, angle B measures $$2x$$ degrees, angle C measures $$3x$$ degrees, and angle D measures $$4x$$ degrees. If the sum of all angles formed at the intersection of these two lines is $$360^{ ext{°}}$$, what is the measure of angle C?

To solve this problem, you will need to set up an equation based on the given relationships and the properties of angles formed by intersecting lines.