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If triangle ABC is an isosceles triangle

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Magoosh GMAT Instructor
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If triangle ABC is an isosceles triangle [#permalink] New post 05 Nov 2012, 11:37
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A
B
C
D
E

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  25% (low)

Question Stats:

67% (02:22) correct 33% (02:12) wrong based on 92 sessions
If triangle ABC is an isosceles triangle, what is ∠ABC?

(1) ∠CAB = 45 degrees
(2) ∠BCA = 90 degrees


For a detailed discussion of that most amazing geometric theorem, the Isosceles Triangle Theorem, as well as a video explanation of this particular question, see this this link:
http://magoosh.com/gmat/2012/isosceles- ... -the-gmat/
[Reveal] Spoiler: OA

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Mike McGarry
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Re: If triangle ABC is an isosceles triangle [#permalink] New post 05 Nov 2012, 14:12
hi Mike

I think this question is same as in the gmat prep 1
only value is changed to 90
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Re: If triangle ABC is an isosceles triangle [#permalink] New post 24 Sep 2013, 23:31
sir,
pls any explain why statement A wrong and statement B is rght......
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Re: If triangle ABC is an isosceles triangle [#permalink] New post 25 Sep 2013, 00:06
Expert's post
kanusha wrote:
sir,
pls any explain why statement A wrong and statement B is rght......


If triangle ABC is an isosceles triangle, what is ∠ABC?

(1) ∠CAB = 45 degrees. The sum of the remaining two angles is 180-45=135 degrees. Triangle ABC can be 45-45-90 right isosceles triangle OR 67.5-67.5-45 isosceles triangle. Angle B can be 45, 90, or 67.5 degrees. Not sufficient.

(2) ∠BCA = 90 degrees. This statement says that we have 45-45-90 isosceles right triangle, where C=90 degrees, therefore the remaining two angles must be 45 degrees each. Sufficient.

Answer: B.

Hope it's clear.
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Re: If triangle ABC is an isosceles triangle   [#permalink] 25 Sep 2013, 00:06
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