Math

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Obtuse angles A and B are in standard position. Point P(-3,4) is on the terminal arm of angle A. Point Q(-9,12)is on the terminal arm of angle B. How are the measures of angles A and b related?
Please explain...

  • Math -

    If you put P and Q on the same grid, did you notice that OQ is an extension of OP ?
    so the angle formed by OP and OQ are the same
    notice the hypotenuse of the smaller triangle is 5 by Pythagoras, and of the larger triangle it is 15

    try this on your calculator:
    2nd
    cos
    (
    -3÷5
    )
    = to get 126.8698...°

    now try:
    2nd
    cos
    (
    -9÷15
    )
    =
    to get exactly the same angle of 126.8698...°

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