Answer: A
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triangle question
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<DAB + <ABD = <BDC (Since external angle is equal to sum of internal opposite angles).
==> <ABD = <BDC - <DAB = 2x - x = x
==> Tri ABD is isoceles with AD = BD ----- (A)
Also, From isoceles Tri BDC, BD = BC ---- (B)
From (A) & (B) above,
AD = BD = BC ----- (C).
From 1: AD = 6.
so, from (C), BC = 6. Hence, sufficent.
From 2: x=36.
This only gives us value of angles but no data for any of the sides. Hence, insufficient.
So, IMO answer is (A). Could you please confirm.
Cheers!!
==> <ABD = <BDC - <DAB = 2x - x = x
==> Tri ABD is isoceles with AD = BD ----- (A)
Also, From isoceles Tri BDC, BD = BC ---- (B)
From (A) & (B) above,
AD = BD = BC ----- (C).
From 1: AD = 6.
so, from (C), BC = 6. Hence, sufficent.
From 2: x=36.
This only gives us value of angles but no data for any of the sides. Hence, insufficient.
So, IMO answer is (A). Could you please confirm.
Cheers!!
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hpgmat
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statement 1 by itself is sufficient
in ABD : X + (180-2X) + B2= 180
---> B2 = X
----->AD = BD = 6
NOW IN BDC , SINCE <C = <D = 2X , HENCE BC = BD = 6.
statement 2 insufficient.
in ABD : X + (180-2X) + B2= 180
---> B2 = X
----->AD = BD = 6
NOW IN BDC , SINCE <C = <D = 2X , HENCE BC = BD = 6.
statement 2 insufficient.
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