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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 4136
GPA: 3.39
Is the triangle depicted above equilateral? (1) x + y + z = 180° (2)  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 95% (00:33) correct 5% (00:24) wrong based on 21 sessions

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Attachment: XXDD.jpg [ 5.27 KiB | Viewed 380 times ]
(Figure not necessarily drawn to scale.)

Is the triangle depicted above equilateral?

(1) $$x + y + z = 180°$$

(2) $$y = z$$

Source: McGraw-Hill's GMAT

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Math Expert V
Joined: 02 Aug 2009
Posts: 8006
Re: Is the triangle depicted above equilateral? (1) x + y + z = 180° (2)  [#permalink]

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Attachment:
XXDD.jpg
(Figure not necessarily drawn to scale.)

Is the triangle depicted above equilateral?

(1) $$x + y + z = 180°$$
This is the case for any triangle, so no new information at all.
Surely all choices containg statement I are out, so A, C and D are out

(2) $$y = z$$
We know the triangle is isosceles triangle, but it could be x=y=z. so Insuff
B is also out

Combined..
We have already eliminated C as possible answer

E
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GMAT Club Legend  D
Joined: 18 Aug 2017
Posts: 5031
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Is the triangle depicted above equilateral? (1) x + y + z = 180° (2)  [#permalink]

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#1
x+y+z=180
no info whether its equilaterial, isosceles ∆ ; in sufficient
#2
y=z
so
x+2y=180
so ∆ can be isoscles or may not be in case x=y ; in sufficient
from1 & 2
we cannot derive any info
IMOE

Attachment:
XXDD.jpg
(Figure not necessarily drawn to scale.)

Is the triangle depicted above equilateral?

(1) $$x + y + z = 180°$$

(2) $$y = z$$

Source: McGraw-Hill's GMAT
Senior Manager  G
Joined: 25 Feb 2019
Posts: 336
Re: Is the triangle depicted above equilateral? (1) x + y + z = 180° (2)  [#permalink]

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statement 1.

sum of all angles is 180 .

but it may be any triangle . insufficient

statement 2

y=z

insufficient .

Even if we combined these two,

we get ,

x+2y = 180 , we can not solve this equation to get unique values

Hence Option E

Neither of these is sufficient .

award kudos if helpful

Posted from my mobile device Re: Is the triangle depicted above equilateral? (1) x + y + z = 180° (2)   [#permalink] 27 Mar 2019, 09:08
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