# SOLUTION: Find all angles t such that 3t is coterminal with 180 degrees and t is between 0 degrees and 360 degrees.

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 Question 212348This question is from textbook Advanced Mathematics : Find all angles t such that 3t is coterminal with 180 degrees and t is between 0 degrees and 360 degrees.This question is from textbook Advanced Mathematics Answer by HyperBrain(694)   (Show Source): You can put this solution on YOUR website!I shall use modular arithmetic to solve this one. An angle x is coterminal with 180 degrees if and only if when if is divided by 360, the remainder is 180. So, 3t=180 (mod 360) t=60 (mod 360) --- This is the general modular solution. Algebraically, t=360k+60 for all integer values of k