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#GREpracticequestion D is the midpoint of AC.jpg [ 21.28 KiB | Viewed 336 times ]
D is the midpoint of AC
Quantity A
Quantity B
x
y
A) Quantity A is greater. B) Quantity B is greater. C) The two quantities are equal. D) The relationship cannot be determined from the information given.
Re: D is the midpoint [#permalink]
25 Jan 2018, 01:55
2
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As we know that D is the midpoint and angle y is formed within A and midpoint D it must be larger than x. To see this think about two triangles formed out of ABC (one with angle x as the lower left angle and one with angle y as lower left angle). In both triangles, angle ACB will be the same. Angle ABC however will be smaller for triangle with angle y than for triangle with angle x. Knowing that the sum of the angles of a triangle must be 180°, while angle ACB stays the same, y° must be larger than x° (180° = y° + ACB° + fraction of ABC° & 180° = x° + ACB° + ABC°) -> Answer B is correct
greprepclubot
Re: D is the midpoint
[#permalink]
25 Jan 2018, 01:55