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28 August, 04:45

How many more angles does a trapezoid have than a triangle?

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  1. 28 August, 04:48
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    A trapezoid can have 2 obtuse angles at most, because a trapezoid has two pairs of supplementary angles.

    Both supplementary angles cannot be obtuse at the same time.

    One has to be acute.
  2. 28 August, 04:49
    0
    Because it contains a set of parallel lines, the angle pairs at each end of the trapezoid must be complementary, or have a sum of 180 degrees. If one is a 90-degree angle, its neighbor must also be a right angle, and that end of the trapezoid may resemble a rectangle. To remain within the definition of a trapezoid, then, the two remaining angles must not have 90 degrees. Thus, a trapezoid may have a pair of right angles, but cannot have more.
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