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geometry DS

by GMAT Kolaveri » Sun May 06, 2012 6:20 pm
Is the measure of one of the interior angles of quadrilateral ABCD equal to 60?
(1) Two of the interior angles of ABCD are right angles.
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

Will post OA after some discussion.
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by Anurag@Gurome » Sun May 06, 2012 6:26 pm
GMAT Kolaveri wrote:Is the measure of one of the interior angles of quadrilateral ABCD equal to 60?
(1) Two of the interior angles of ABCD are right angles.
(2) The degree measure of angle ABC is twice the degree measure of angle BCD.

Will post OA after some discussion.
Sum of interior angels of a quadrilateral is 360 degrees.

(1) Two of the interior angles of ABCD are right angles implies the angles can be 90 + 90 + the remaining two angles that sum up 180.
No definite answer; NOT sufficient.

(2) The degree measure of angle ABC is twice the degree measure of angle BCD implies angle ABC = 2 * angle BCD.
No definite answer; NOT sufficient.

Combining (1) and (2), the angles can be 90 + 90 + 45 + 135 = 360 OR 90 + 90 + 60 + 120.
No definite answer; NOT sufficient.

The correct answer is E.
Anurag Mairal, Ph.D., MBA
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