GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 21:59

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# If angle X in triangle is XYZ is 45º, is triangle XYZ an isosceles tri

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58443
If angle X in triangle is XYZ is 45º, is triangle XYZ an isosceles tri  [#permalink]

### Show Tags

29 Aug 2018, 01:29
00:00

Difficulty:

15% (low)

Question Stats:

89% (00:57) correct 11% (01:00) wrong based on 29 sessions

### HideShow timer Statistics

If angle X in triangle is XYZ is 45º, is triangle XYZ an isosceles triangle?

(1) The sum of angle Y and angle Z is 135º.
(2) The side opposite angle X is equal in length to the side opposite angle Y.

_________________
NUS School Moderator
Joined: 18 Jul 2018
Posts: 1021
Location: India
Concentration: Finance, Marketing
WE: Engineering (Energy and Utilities)
Re: If angle X in triangle is XYZ is 45º, is triangle XYZ an isosceles tri  [#permalink]

### Show Tags

29 Aug 2018, 01:37
For a triangle to be isosceles, two angles should be equal in a triangle.

From statement 1:
Y+Z = 135.
Y can be either 90 and Z can be 45. This will be an isosceles triangle.
But, If Y or Z takes any other angle, Then XYZ is not isosceles.
Hence 1 is insufficient.

From statement 2:
Angle X = Angle Y.
Then X = Y = 45.
Z must be 90. Since sum of angles in a triangle is 180.
Hence XYZ is isosceles triangle.

2 is sufficient.

_________________
Press +1 Kudos If my post helps!
Re: If angle X in triangle is XYZ is 45º, is triangle XYZ an isosceles tri   [#permalink] 29 Aug 2018, 01:37
Display posts from previous: Sort by