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nadontheway
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Gmat prep Q3
Source: Beat The GMAT — Problem Solving |
the file I downloaded contains many questions. sorry for that. i will download the question that I could not solve in another file...
Here is how you solve this
Angle ABC (of the large triangle) = 180 - 3x. This is because angle BAC is x and angle ACB is 2x. So these two add up 3x and the other angle is 180-3x
Angle DBC is 180 - 4x. This is the angle of isoceles triangle DBC.
If you subtract the two angles above to find angle ABD, you find that
180 - 3x - (180 - 4x) = x
So angle ABD is x.
If this is so, then triangle ABD is isoceles as well, and the side AD = DB
No statement 1.
You are given that AD = 6. So BD will also = 6. And since triangle DBC is isoceles as well, then BC = 6.
SUFFICIENT
Statement 2 gives you nothing, only gives you angle measures that don't help you calculate segment distances. Beware of this trap.
Angle ABC (of the large triangle) = 180 - 3x. This is because angle BAC is x and angle ACB is 2x. So these two add up 3x and the other angle is 180-3x
Angle DBC is 180 - 4x. This is the angle of isoceles triangle DBC.
If you subtract the two angles above to find angle ABD, you find that
180 - 3x - (180 - 4x) = x
So angle ABD is x.
If this is so, then triangle ABD is isoceles as well, and the side AD = DB
No statement 1.
You are given that AD = 6. So BD will also = 6. And since triangle DBC is isoceles as well, then BC = 6.
SUFFICIENT
Statement 2 gives you nothing, only gives you angle measures that don't help you calculate segment distances. Beware of this trap.
