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Which expression finds the measure of an angle that is coterminal with a 300° angle​

Which expression finds the measure of an angle that is coterminal with a 300° angle-example-1
User Lucas Souza
by
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1 Answer

18 votes
18 votes

Answer:

300° - 720°

Explanation:

Co-terminal angles: Angles that have the same initial side and the same terminal sides.

The co-terminal angle is found by adding or subtracting 360°n (or 2πn if working in radians) to the given angle.

Given angle:

  • 300°

Therefore, co-terminal angles of 300° are:

⇒ 300° + 360°n = 660°, 1020°, ...

⇒ 300° - 360°n = -60°, -420°, ...

Therefore, the expression that finds the measure of an angle that is co-terminal with a 300° angle is one that adds or subtracts a multiple of 360°:

300° - 2(360°) = 300° - 720°

User JoshSchlesinger
by
3.3k points
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