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OG Parallelogram

This topic has 1 expert reply and 0 member replies
AbeNeedsAnswers Master | Next Rank: 500 Posts Default Avatar
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OG Parallelogram

Post Thu Aug 24, 2017 8:31 pm
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    In the parallelogram shown, what is the value of x?
    (1) y = 2x
    (2) x + z = 120

    D

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    Post Thu Aug 31, 2017 10:18 am
    Hi AbeNeedsAnswers,

    We're asked to find the value of angle X in the parallelogram.

    When dealing with a parallelogram, there are a variety of math rules about that shape that you might find useful:
    1) Opposite sides have equal length
    2) Opposite angles are equal
    3) The two angles on a 'side' of the shape will add up to 180 degrees.

    1) Y = 2X

    Since angle Y and angle X are on the same 'side', we know that Y + X = 180 degrees. With Fact 1, we are given a second equation to work with, so we clearly have a 'system' of equations (so you can figure out the values of X and Y). In this case, X = 60, Y = 120
    Fact 1 is SUFFICIENT

    2) X + Z = 120

    Since X and Z are opposite angles, we know that they are equal. With the information in Fact 2, we now know that they are X = 60 and Z = 60.
    Fact 2 is SUFFICIENT

    Final Answer: D

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