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Which of the following listsonly coterminal angles?Enter a, b, c, or d.a. 90°, 180°, 270°b. 190°, 550°, -10°c. 120°, -1200°, 300°d. -730°, 350°, 710°

User Jbll
by
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1 Answer

1 vote

Okay, here we have this:

Considering that if θ is any angle, then θ + n(360) is coterminal angle with θ, for all nonzero integer n. Let's check one by one:

Option A:

180°-90°=90°

They are not coterminal angles because the difference between them is different from a multiple of 360°.

Option B:

550°-190°=360°

190°-(-10°)=200°

They are not coterminal angles either because the difference between them (200°) is different from a multiple of 360 °.

Option C:

120°-(-1200°)=1320°

They are not coterminal angles either because the difference between them (1320°) is different from a multiple of 360 °.

Option D:

710°-350°=360°

350°-(-730°)=1080°/360°=3

They are coterminal angles because the difference between them is equal to a multiple of 360 °

Finally we obtain that the correct answer is the option D.

User Julius Schorzman
by
8.2k points
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