Coterminal angle [Solved!]

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find the least positive degree of an angle that is coterminal with an angle of the following measurment.
-205 degrees

Relevant page

<a href="/">Interactive Mathematics</a>

What I've done so far

Drawn plenty of triangles

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What does "coterminal" mean?

X

Anhy didn't respond to my question, so I'll just go ahead.

Coterminal means "having the same initial and terminal sides". That is, they <strong>look</strong> the same, even though they may involve more revolutions.

In this case, we need to find an equivalent positive angle for `-205^"o"`. This means the angle goes in a ,strong&gt;clockwise direction (since the angle is negative), just a little more than a straight angle (`180^"o"`). 

It will be `360^"o" - 205^"o" = 155^"o"`

So the required positive angle is `155^"o"`.