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Answer:

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Step-by-step explanation:

In Algebra, angles are measured counterclockwise (CCW), generally using the +x axis as a reference. Thus any angle with an arrow shown in the CW direction will have a negative measure.

Ver imagen sqdancefan
Ver imagen sqdancefan
Ver imagen sqdancefan

Know that clockwise measured angles are negative and anticlockwise measured angles are positive in sign.

Thus,

  • In first figure first angle is positive, second is negative.
  • In second figure first angle is negative, second is positive.
  • In third figure, first angle is positive, second angle is negative, third angle is positive.

How does rotation measure specifies sign of angles?


It is a standard convention used in mathematics that if you measure an angle clockwise(like the clock's hand moves), then the measured angle will be written with negative sign.

If the angle is measured anticlockwise, then the measured angle is written with positive sign.

Thus, by these conclusions, we have:

  • Thus, In first figure first angle is positive, second is negative.
  • In second figure first angle is negative, second is positive.
  • In third figure, first angle is positive, second angle is negative, third angle is positive.

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