QQuestionMathematics
QuestionMathematics
A clockwise rotation of 90° is the same as a counterclockwise rotation of ___°.
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Understand the Rotation Concept
A full rotation is 360°. When we rotate in different directions, we can relate the angles by considering the total circle.
Step 3:: Analyze the Rotation Directions
- Clockwise 90° rotation - Counterclockwise rotation of an unknown angle
Step 4:: Calculate the Complementary Angle
- Counterclockwise rotation = $$360° - 90° = 270°
- A 90° clockwise rotation means moving 90° in the clockwise direction - To find the equivalent counterclockwise rotation, subtract this from a full rotation
Step 5:: Verify the Relationship
- 90° clockwise = 270° counterclockwise - Both rotations will end at the same final position
Final Answer
The clockwise rotation of 90° is equivalent to a counterclockwise rotation of 270°.
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