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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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)
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This is the general modular solution.
Algebraically,
t=360k+60
for all integer values of k