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# What are the angles of triangle XYZ?

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Intern
Status: GMAT on july 13.
Joined: 10 Feb 2017
Posts: 36
GMAT 1: 650 Q48 V30
What are the angles of triangle XYZ?  [#permalink]

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19 Jul 2018, 04:03
00:00

Difficulty:

25% (medium)

Question Stats:

76% (00:48) correct 24% (01:17) wrong based on 33 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??
Math Expert
Joined: 02 Aug 2009
Posts: 7035
What are the angles of triangle XYZ?  [#permalink]

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19 Jul 2018, 05:06
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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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Intern
Joined: 08 Jul 2018
Posts: 39
Re: What are the angles of triangle XYZ?  [#permalink]

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19 Jul 2018, 07:11
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, 07:11
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