Question
What is the measurement of ∠C if the image is rotated 305°
clockwise
c=2,2
clockwise
c=2,2
Answers
Answered by
GPT-4o mini
To find the measure of angle \( \angle C \) after the image is rotated \( 305^\circ \) clockwise, we first need to understand how angles in standard position are typically measured. In the standard position, angles are measured counterclockwise, and a full rotation is \( 360^\circ \).
When an angle is rotated clockwise, we can find the equivalent angle in standard position by subtracting the clockwise angle from \( 360^\circ \). Therefore, for a \( 305^\circ \) clockwise rotation:
\[
360^\circ - 305^\circ = 55^\circ
\]
So, a \( 305^\circ \) clockwise rotation is equivalent to a \( 55^\circ \) counterclockwise rotation.
If \( \angle C \) originally measured \( 55^\circ \) (which is a common interpretation in problems involving angle rotations, though not explicitly stated here), then the rotated angle in standard position would also be \( 55^\circ \) relative to its previous position.
If \( c = 2,2 \) refers to Cartesian coordinates of a point undergoing rotation, please provide further context or clarify the question if you need additional help calculating the new coordinates or analyzing the geometric implications of the rotation.
When an angle is rotated clockwise, we can find the equivalent angle in standard position by subtracting the clockwise angle from \( 360^\circ \). Therefore, for a \( 305^\circ \) clockwise rotation:
\[
360^\circ - 305^\circ = 55^\circ
\]
So, a \( 305^\circ \) clockwise rotation is equivalent to a \( 55^\circ \) counterclockwise rotation.
If \( \angle C \) originally measured \( 55^\circ \) (which is a common interpretation in problems involving angle rotations, though not explicitly stated here), then the rotated angle in standard position would also be \( 55^\circ \) relative to its previous position.
If \( c = 2,2 \) refers to Cartesian coordinates of a point undergoing rotation, please provide further context or clarify the question if you need additional help calculating the new coordinates or analyzing the geometric implications of the rotation.