Coterminal angle [Solved!]

X

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

X

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"`.

X

"Having the same initial and terminal sides" is what we mean when we say something is coterminal. That is, despite the fact that they may include more revolutions, they appear identical.