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What are the angles of triangle XYZ?

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Status: GMAT on july 13.
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What are the angles of triangle XYZ?  [#permalink]

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New post 19 Jul 2018, 05:03
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

76% (00:45) correct 24% (01:15) wrong based on 29 sessions

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What are the angles of triangle XYZ?

(1) One of the interior angles of the triangle is 120°.

(2) One of the exterior angles of the triangle is 165°.


Shouldnt it be (B) since exterior angle is equal to sum of interior opposite angles??
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What are the angles of triangle XYZ?  [#permalink]

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New post 19 Jul 2018, 06:06
Viserion99 wrote:
What are the angles of triangle XYZ?

(1) One of the interior angles of the triangle is 120°.

(2) One of the exterior angles of the triangle is 165°.


Shouldnt it be (B) since exterior angle is equal to sum of interior opposite angles??



1) one of the interior angles = 120..
Other two can be any combination totalling 60, so 10 & 50 or 20 & 40
Insufficient

2) one of exterior angles =165
So one of the angle will be 180-165=15
Other two can be any combination totalling 165
Insufficient

Combined
Two angles are 15 , 120 and 180-(15+120)=45
Sufficient

C
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Re: What are the angles of triangle XYZ?  [#permalink]

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New post 19 Jul 2018, 08:11
Viserion99 wrote:
What are the angles of triangle XYZ?

(1) One of the interior angles of the triangle is 120°.

(2) One of the exterior angles of the triangle is 165°.


Shouldnt it be (B) since exterior angle is equal to sum of interior opposite angles??


The second statement can be interpreted as: One of the exterior interior angles of the triangle is 165° \(180 - 165 =15°\)

Both statements alone are insufficient as they give no information about the other 2 angles.
Together they specify 2 angles of a triangle and we can easily find the 3rd. So C
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Re: What are the angles of triangle XYZ? &nbs [#permalink] 19 Jul 2018, 08:11
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