OE:
In the figure above, the interior angles of quadrilateral GHJK have degree measures (180 – p), (180 – q), (180 – r), and (180 – s). Since the sum of the degree measures of the interior angles of a quadrilateral is 360, it follows that (180 – p) + (180 – q) + (180 – r) + (180 – s) = 360 or 720 – (p + q + r + s) = 360, so p + q + r + s = 360.
(1) Given that p = q = r = s, from the remarks above, p = q = r = s = 90 and GHJK is a rectangle; SUFFICIENT.
(2) Given that GH = KJ and GK = HJ, it is not possible to determine if GHJK is a rectangle. If each interior angle of GHJK has degree measure 90, then GHJK is a rectangle. If each interior angle of GHJK does not have degree measure 90, such as is the case for a rhombus or diamond, then GHJK is not a rectangle; NOT sufficient.
The correct answer is A;
statement 1 alone is sufficient.
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