Help with trig reference angles practice problems

Question

darkbluechocobo · Answer

Find the reference angle, $$\theta',if \theta=1395$$

darkbluechocobo · Answer

$$1395-3(360)=315$$

freckles · Answer

so 1395 is in degrees?

darkbluechocobo · Answer

Yes I couldnt find the degree icon

freckles · Answer

1395-3(360)=315
means that angle is right here:
|dw:1421780201435:dw|
we need to figure out how far that angle is from the x-axis there
to find the reference angle

darkbluechocobo · Answer

so 360-315?

freckles · Answer

yep yep

darkbluechocobo · Answer

$$360-315=$$

darkbluechocobo · Answer

45

freckles · Answer

yes that's right 45 deg is the reference angle

darkbluechocobo · Answer

Question though

darkbluechocobo · Answer

so the last one I did was -855 so I set up the equation -855+3(360) and got 225 would 225 be the reference angle or do you have to subtract it by 360?

freckles · Answer

the reference angle is a number between 0 deg and 90 deg

freckles · Answer

so 225 deg is not between 0 deg and 90 deg

freckles · Answer

|dw:1421780477807:dw|
you need to figure out how far 225 is from the x-axis

darkbluechocobo · Answer

360-225=135 so 135 degrees? from x axis?

freckles · Answer

we know the angle has to between 0 and 90
135 is not between 0 and 90
also in the picture I drew does that angle look acute or obtuse?

freckles · Answer

|dw:1421780730309:dw|
225-180 is how far we are away from the x-axis in deg