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 Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

In case you didn’t notice, we recently held the 1st ever GMAT game show and it was awesome! See who won a full GMAT course, and register to the next one.

Re: In isosceles triangle XYZ, what is the measure of angle XZY?
[#permalink]

Show Tags

06 Jun 2017, 10:52

2

St. 1 - this does not help us identify the angle XZY as the angles of the triangle could be 44-44-92 or 44-68-68. Insufficient.

St. 2 - this states outright that one angle is 92 degrees making it the largest angle of the triangle. Knowing that this is an isosceles triangle, we can conclude that the other two angles sum to 88 and are equal, that is 44. Sufficient.

I think it should be: B

Would appreciate a kudos if you liked my solution!

Re: In isosceles triangle XYZ, what is the measure of angle XZY?
[#permalink]

Show Tags

06 Jun 2017, 11:48

Top Contributor

Bunuel wrote:

In isosceles triangle XYZ, what is the measure of angle XZY?

(1) Angle XYZ measures 44 degrees.

(2) Angle YXZ measures 92 degrees.

Target question:What is the measure of angle XZY?

Given: Triangle XYZ is isosceles So, 2 of the angles are equal.

Statement 1: Angle XYZ measures 44 degrees There are two possible cases that satisfy statement 1: Case a: angle XYZ is one of the two angles that are equal, which means the 3 angles are 44, 44 and 92. In this case, angle XZY can be EITHER 44 or 92 ASIDE: At this point, we can already conclude that statement 1 is not sufficient. However, let's examine the other case, for "fun" Case b: angle XYZ is NOT one of the two angles that are equal, which means the 3 angles are 44, 68 and 68. In this case, angle XZY can be 68 degrees Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: Angle YXZ measures 92 degrees. From this information, we can be certain that angle YXZ is NOT one of the two angles that are equal. We know this because, if two angles were to equal 92 degrees, then the sum of those angles would be 184 degrees, and the 3 angles in a triangle add to 180 degrees. So, it must be the case that the other two angles are equal. This means the 3 angles are 44, 44 and 92. In this case, angle XZY must be 44 degrees Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Re: In isosceles triangle XYZ, what is the measure of angle XZY?
[#permalink]

Show Tags

15 Jan 2018, 09:53

statement 1 says angle xyz = 44 and we already know that the triangle is an isosceles triangle which means 2 angles have the same degrees. therefore xzy could be 2 possibilities . xyz = 44 and yxz = 44 then xzy = 180- 44 -44 = 92 alternatively if xyz = 44 then other 2 angles can be 180-44 = 136/2 = 68 degrees no clear answer therefore not sufficient.

Statement 2 says angle yxz measures = 92 . which means no other angle can share its deminsions because if it does it exceeds 180 therefore the other 2 angle = part of isosceles. zxy = 180-92 = 88/2 =44. sufficient .

Ans = B

gmatclubot

Re: In isosceles triangle XYZ, what is the measure of angle XZY? &nbs
[#permalink]
15 Jan 2018, 09:53