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Find the measure of a negative angle coterminal with 50∘50^\circ. \newline____∘^\circ

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Full solution

Q. Find the measure of a negative angle coterminal with 50∘50^\circ. \newline____∘^\circ
  1. Subtract 360360° from 5050°: To find a negative angle coterminal with 5050°, subtract 360360° from 5050° because coterminal angles are separated by full rotations, which are 360°360°. Calculation: −360°+50°=−310°-360° + 50° = -310°
  2. Check result and confirmation: Check if the result is a negative angle and if it's coterminal with the original angle.\newline−310∘-310^\circ is negative and adding 360∘360^\circ to it gives us 50∘50^\circ, which confirms they are coterminal.

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