Will be D.
Exterior angle v = x+y.
A gives you v directly.
B gives you w from which you can calculate v as v = w = 74.
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Triangles
Source: Beat The GMAT — Data Sufficiency |
OA - D. That is exactly how I solved the problem. Anyone with a different approach? Just trying to make sure I know everything about triangles....
BD=CD..given
Therefore triangle BDC is isosceles
v=u
w=180-2v.....(1)
statement 1:
v=74
z=180-v
z=180-74=106
In triangle ADB x+y=180-z=74
Sufficient
statement 2:
w=32
Substituting in 1 we get v=74
x+y=74( same approach as given above)
Sufficient
Hope this helps
Therefore triangle BDC is isosceles
v=u
w=180-2v.....(1)
statement 1:
v=74
z=180-v
z=180-74=106
In triangle ADB x+y=180-z=74
Sufficient
statement 2:
w=32
Substituting in 1 we get v=74
x+y=74( same approach as given above)
Sufficient
Hope this helps
















