For the rotation -555^(@), find the coterminal angle from 0^(@) <= theta < 360^(@), the quadrant, and the reference angle. The coterminal angle is ◻^(@), which lies in Quadrant ◻, with a reference angle of ◻^(@).

Find Coterminal Angle: To find the coterminal angle, add or subtract multiples of 360° until the angle is between 0° and 360°. -555° + 360° = -195° -195° + 360° = 165°Identify Coterminal Angle: Since 165° is between 0° and 360°, it is the coterminal angle we're looking for. The coterminal angle is 165°.Determine Quadrant: To determine the quadrant, check where 165° lies. 0° < 165° < 90° is Quadrant I 90° < 165° < 180° is Quadrant II So, 165° is in Quadrant II.Calculate Reference Angle: The reference angle is the acute angle between the terminal side of the given angle and the x-axis. For angles in Quadrant II, subtract the angle from 180°. Reference angle = 180° - 165° = 15°

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For the rotation
-555^(@), find the coterminal angle from
0^(@) <= theta < 360^(@), the quadrant, and the reference angle.
The coterminal angle is
◻^(@), which lies in Quadrant
◻, with a reference angle of
◻^(@).

For the rotation $-555^{\circ}$ , find the coterminal angle from 0^{\circ} \leq \theta<360^{\circ} , the quadrant, and the reference angle. $\newline$ The coterminal angle is $\square^{\circ}$ , which lies in Quadrant $\square$ , with a reference angle of $\square^{\circ}$ .

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Q. For the rotation

-555^{\circ}

, find the coterminal angle from

0^{\circ} \leq \theta<360^{\circ}

, the quadrant, and the reference angle.

\newline

The coterminal angle is

\square^{\circ}

, which lies in Quadrant

\square

, with a reference angle of

\square^{\circ}

Find Coterminal Angle: To find the coterminal angle, add or subtract multiples of $360°$ until the angle is between $0°$ and $360°$ . $\newline$ $-555° + 360° = -195°$ $\newline$ $-195° + 360° = 165°$
Identify Coterminal Angle: Since $165^\circ$ is between $0^\circ$ and $360^\circ$ , it is the coterminal angle we're looking for. $\newline$ The coterminal angle is $165^\circ$ .
Determine Quadrant: To determine the quadrant, check where $165°$ lies. $\newline$ 0° < 165° < 90° is Quadrant I $\newline$ 90° < 165° < 180° is Quadrant II $\newline$ So, $165°$ is in Quadrant II.
Calculate Reference Angle: The reference angle is the acute angle between the terminal side of the given angle and the x-axis. $\newline$ For angles in Quadrant II, subtract the angle from $180^\circ$ . $\newline$ Reference angle = $180^\circ - 165^\circ = 15^\circ$