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GeometryMediumOlympiad Geometry

Olympiad Geometry · Medium problem

Triangle ABCABC is congruent to triangle RSTRST, with correspondence A↔RA \leftrightarrow R, B↔SB \leftrightarrow S, C↔TC \leftrightarrow T. If m∠A=3x∘m\angle A = 3x^\circ, m∠B=(x+10)∘m\angle B = (x+10)^\circ, and m∠C=70∘m\angle C = 70^\circ, find m∠Rm\angle R.