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GRE
GRE Quantitative Reasoning Section

Finding the Value of x Using Supplementary Angles

Hard Geometry Lines And Angles

In the figure below, line segment AB is extended to point C, forming an angle with line segment CD that intersects line segment AB. If the measure of angle ACB is $x$ degrees and the measure of angle DCA is $(2x + 30)$ degrees, what is the value of $x$?

Assume that angle ACB and angle DCA are supplementary angles, meaning their measures add up to $180$ degrees.

Hint

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