# SOLUTION: the measurements of two complementary angles are in the ratio 2:13.Find the measure of the smaller angle.

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 Geometry: Angles, complementary, supplementary angles Solvers Lessons Answers archive Quiz In Depth

 Question 493983: the measurements of two complementary angles are in the ratio 2:13.Find the measure of the smaller angle.Answer by stanbon(57219)   (Show Source): You can put this solution on YOUR website!the measurements of two complementary angles are in the ratio 2:13.Find the measure of the smaller angle. ---------------------- Let the 2 angles be "x" and "90-x": ---------- x/(90-x) = 2/13 ---- 13x = 2(90-x) --- 13x = 180-2x 15x = 180 x = 12 degrees (The smaller angle) ===================================== Cheers, stan H. ================