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Source: Beat The GMAT — Data Sufficiency |
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Bryant@VeritasPrep
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the givens are insufficient because despite the figure "tricking" you into assuming RT is a straight line, it doesn't have to be. Picture a break in the figure where RS and ST come together. If that line is "bent," the angle x could be anything. Hope this helps.
Bryant Michaels
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Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.
1. The concepts being, equal sides will have equal opposite angles.
2. Adjacent angles on a line sum up to 180 degrees.
3. The sum of all the interior angles of a Quadrilateral 360 degrees.
So, the equation will be,
x + 180-y + 180-z + 90 = 360.
Solve,
x - y - z = -90.
2x - (x+y+z) = -90
2x - 180 = -90
x = 45.
Both the statement are needed to get this answer
1. The concepts being, equal sides will have equal opposite angles.
2. Adjacent angles on a line sum up to 180 degrees.
3. The sum of all the interior angles of a Quadrilateral 360 degrees.
So, the equation will be,
x + 180-y + 180-z + 90 = 360.
Solve,
x - y - z = -90.
2x - (x+y+z) = -90
2x - 180 = -90
x = 45.
Both the statement are needed to get this answer
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enniguy wrote:Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.
1. The concepts being, equal sides will have equal opposite angles.
2. Adjacent angles on a line sum up to 180 degrees.
3. The sum of all the interior angles of a Quadrilateral 360 degrees.
So, the equation will be,
x + 180-y + 180-z + 90 = 360.
Solve,
x - y - z = -90.
2x - (x+y+z) = -90
2x - 180 = -90
x = 45.
Both the statement are needed to get this answer
Perfect. Thank You. OA is C
where do you get the 2x in the highlighted statement from? I understand the rest, just cant figure that part outenniguy wrote:Please check the figure attached for explanation. Assume y and z to be the other angles adjacent to x. (x+y+z) will be 180 degrees.
1. The concepts being, equal sides will have equal opposite angles.
2. Adjacent angles on a line sum up to 180 degrees.
3. The sum of all the interior angles of a Quadrilateral 360 degrees.
So, the equation will be,
x + 180-y + 180-z + 90 = 360.
Solve,
x - y - z = -90.
2x - (x+y+z) = -90
2x - 180 = -90
x = 45.
Both the statement are needed to get this answer
Thanks
