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Source: Beat The GMAT — Data Sufficiency |
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Bryant@VeritasPrep
- MBA Admissions Consultant
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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
MBA Admissions Consultant
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options
MBA Admissions Consultant
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options
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
- Attachments
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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
