Find the measure of the angle below?

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1 Answer
Jacobi J.
Jun 30, 2018

#255^@#

Explanation:

We can interpret our angle as two parts:

#a.# The #75^@# angle

#b.# The angle around the #x#-axis

The angle we're looking for will be given by #a+b#. So what's #b#?

Well, we notice the angle looks reminiscent of a semicircle, which we know has a measure of #180^@#, so this is our #b#.

This makes intuitive sense too:

If we go from the negative #x# axis to the positive #y# axis, we moved #90^@#. If we go from there to the positive #x# axis, we moved another #90^@#. We traveled #180^@#.

Thus, the measure of this angle will be

#75+180#

#=>255^@#

Hope this helps!

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