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powerprep #7

This topic has 1 member reply
dunkin77 Master | Next Rank: 500 Posts Default Avatar
Joined
01 Apr 2007
Posted:
269 messages

powerprep #7

Post Tue Apr 24, 2007 9:15 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])
    Hi,

    By knowing that those two triangles are isoisoscales, how do we know the angle of X? Could anyone explain how to get the angle X?

    Thank you!
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    jayhawk2001 Community Manager
    Joined
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    Post Tue Apr 24, 2007 9:45 pm
    1 tells us that angle(RSQ) = angle(SQR). Lets call this y.
    Therefore angle(QRS) = 180 - 2y. In anycase, it is insufficient

    2 tells us that angle (SUT) = angle (UST). Lets call this z.
    Angle (STU) = 180 - 2z. Insufficient.

    Combining 1 and 2,

    x + y + z = 180 (3 angles together form the straight line).

    Also, for triangle RPT, we have
    90 + (180 - 2y) + (180 - 2z) = 180
    y + z = 135

    Subst y+z in the first equation, we can get x

    Hence C

    Thanked by: rivers96, user123321

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