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Math problem, finding angle measures!?

If the measure of angle 1= x^2 - 2x and the measure of angle 2 = 36+3x, find the measure of angle 3.

background information:

angle 1 and angle 2 are supplementary( = 180)

and 1 and angle three are vertical

i tried this and could not get it!! i got 109.5 but i think its wrong!! please help!

2 Answers

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  • ?
    Lv 5
    9 years ago
    Favorite Answer

    angle 1 and angle 2 are supplementary( = 180)

    but angle 1 and angle 3 are vertical

    try visualizing it or draw a circle and divide it into four equal parts:

    -angle 1 and 2 = 180 degree

    -but angle 1 and 3 are vertical

    -so visually, the whole area of this problem is 3/4 of a circle of 360 degree

    3/4 of 360 = 270

    therefore:

    angle 1 + angle 2 + angle 3 = 270

    angle 1 + angle 2 = 180

    180 + angle 3 = 270

    angle 3 = 270 - 180

    angle 3 = 90

    Source(s): Best
  • 9 years ago

    yr correct

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