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This problem trains for: SAT-I, AMC-8, GMAT.

In a scalene triangle the angles A, B, C satisfy:

equation

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What is the measure (in degrees of arc) of the angle C?

Since the angles of a plane triangle add up to 180°:

equation

In order to solve for C, we eliminate all the other unknowns (writing A and B in terms of C) :

equation

equation

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