Q
QuestionMathematics

"To find a coterminal angle, you must add or subtract 180 degrees to the original angle. True False"
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Answer

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Step 1:
: Understand the problem

The problem asks us to determine whether the statement about coterminal angles is true or false. A coterminal angle is an angle that has the same terminal side as another angle. To find a coterminal angle, you can add or subtract multiples of 360 degrees or 180 degrees to the original angle.

Step 2:
: Analyze the statement

The statement given is: "To find a coterminal angle, you must add or subtract 180 degrees to the original angle."

Step 3:
: Evaluate the statement

The statement is not entirely correct. While it is true that you can find a coterminal angle by adding or subtracting 180 degrees, it is not the only way to find one. You can also find coterminal angles by adding or subtracting multiples of 360 degrees.

Step 4:
: Formulate the answer

The given statement is false.

Final Answer

The statement "To find a coterminal angle, you must add or subtract 180 degrees to the original angle" is false. You can also find coterminal angles by adding or subtracting multiples of 360 degrees.