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from st 1) m=n which makes x=z ,value of z cant be calculated
st 2) y=88 now if we consider the triangle on the right side then y is the external angle
so y= 54 + x
x=34
so st 2 is sufficient.
Hence B
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Bunuel

In the figure shown, what is the value of z?

(1) m = n
(2) y = 88


S1: This tells us that this is an isosceles triangle, meaning that angle x must be equal to angle z. However, we are not given enough information to solve for either one. NOT SUFFICIENT.

S2: y and the angle adjacent to it are complementary, meaning that angle is 180-88=92. We can then solve for z by subtracting 92 and 54 from 180. SUFFICIENT.

ANSWER: B
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From statement 1: if m=n, then shouldn't it mean that y and its other side angle (180-y) be equal? Which makes y=90 and z be found. Why is this not possible?
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From statement 1: if m=n, then shouldn't it mean that y and its other side angle (180-y) be equal? Which makes y=90 and z be found. Why is this not possible?

You're assuming that the lines that form angle y are perpendicular and that is most certainly not required for m to equal n. Manipulate the value of the angle adjacent to 54 and you will get different values of x and z.
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