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ISEE Lower Level
Mathematics Achievement

Finding the Value of x from Supplementary Angles

Very Hard Geometry Angles

In the figure below, two parallel lines are cut by a transversal. The angle measures are represented as follows: Angle 1 is represented by $x$, Angle 2 is represented by $3x + 10$, and Angle 3 is represented by $2x - 30$.
If Angle 2 and Angle 3 are supplementary, what is the value of $x$?

Remember, if two angles are supplementary, their measures add up to $180$ degrees.

Hint

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