Quadrant

In what quadrant is a -1165° angle?

Correct result:

x =  4

Solution:

$$\begin{gathered} -1165^{\circ }=275^{\circ }=90^{\circ }\cdot 3+5^{\circ } \\ 3\mathrm{m}\mathrm{o}\mathrm{d}4=3 \\ x=1+(3\mathrm{m}\mathrm{o}\mathrm{d}4)=4 \end{gathered}$$

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