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# In the parallelogram ABCD shown below, what is the value of x?

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Re: In the parallelogram ABCD shown below, what is the value of x? [#permalink]
This question should easily be answered without actually calculating the value x, & as such solving the question to get a value of x is rather time consuming & not encouraged for this type of question on GMAT.

Simply, for parallelogram, the opposite angles are congruent (so x=z) & sum of interior angles = 360
so 2x + 2y = 360 ... eq 1.

Condition 1 gives another equation, so there are 2 variables x & y & we have 2 equation so sufficient.
Condition 2 gives another equation, so we again have 2 variables & 2 equations, so sufficient.
So both are sufficient.