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# If angle PUG= angle TUM, what is angle UTM in terms of x and

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GMAT Instructor
Joined: 04 Jul 2006
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If angle PUG= angle TUM, what is angle UTM in terms of x and [#permalink]

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31 Aug 2006, 06:58
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If angle PUG= angle TUM, what is angle UTM in terms of x and y?
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angle UTM.doc [27.5 KiB]

Kudos [?]: 344 [0], given: 0

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Joined: 09 Aug 2005
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31 Aug 2006, 07:16
x - 2y + 90.

TMG = 90 + y because sum of two interior opposite angles.
PUG = y - x for the same reason.
= TUM.

Therefore using the sum of the three = 180,
UTM = 180 - (90+y+y-x)
= 90 -2y+ x

MG

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31 Aug 2006, 07:16
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