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geometry

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in triangle PQR,line segment PQ is = and congruent to line segment QR. if m<p = 4x + 50, m<Q =2x + 60 and m<R = 14x + 30, find the measure of each angle.

  • geometry - ,

    You have conflicting information.

    First of all, the 3 angles must add up to 180°, so
    4x+50 + 2x+60 + 14x + 30 = 180
    20x = 40
    x = 2
    and the 3 angles would be 58°, 64° , and 42°.

    BUT, in the first sentence you said that PQ = QR, making it isosceles.

    Contradiction!
    Two of the angles would have to be equal.

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