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which angle is coterminal with 170°? -190° -350° -450°

Question

which angle is coterminal with 170°? -190° -350° -450°

Explanation:

Step1: Recall the formula for coterminal angles

Coterminal angles are given by $\theta\pm360^{\circ}n$, where $n$ is an integer.

Step2: Check each option

  • For $-190^{\circ}$:

Let's check if $170^{\circ}-(-190^{\circ}) = 360^{\circ}$, $170 + 190=360^{\circ}$.

  • For $-350^{\circ}$:

Check $170-(-350)=170 + 350 = 520^{\circ}
eq360^{\circ}n$.

  • For $-450^{\circ}$:

Check $170-(-450)=170 + 450=620^{\circ}
eq360^{\circ}n$.

Answer:

$-190^{\circ}$