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In triangle, ABC above, if AB = BC, find the value of y ?

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In triangle, ABC above, if AB = BC, find the value of y ?  [#permalink]

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New post 12 Nov 2018, 09:56
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A
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D
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Project DS Butler: Day 7: Data Sufficiency (DS14)


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In triangle, ABC above, if AB = BC, find the value of y ?
(1) x = 50
(2) z = 130

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Re: In triangle, ABC above, if AB = BC, find the value of y ?  [#permalink]

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New post 12 Nov 2018, 10:02
Stmt 1: x = 50, Angle BAC = 50, since AB = BC, Angle ACB = 50, y can be found to be 180-100 = 80 deg, Hence Suff.

Stmt 2: z = 130, Angle ACB = 50, since AB - BC, Angle BAC = 50, y can be found to be 180-100 = 80 deg, Hence Suff.

Option D
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In triangle, ABC above, if AB = BC, find the value of y ?  [#permalink]

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New post 12 Nov 2018, 10:56
Statement 1: x= 50 so Angle BAC = 50
and AB = BC
Therefore angle ACB = 50
Sum of all the angles of a triangle is 180
BAC + ACB + ABC = 180
100 + y = 180
y = 80
Sufficient

Statement 2: z = 130 then ACB = 50 ( supplementary angles)
AB = BC then ACB = BAC = 50
Now, y + ACB + BAC = 180
y = 80
Sufficient

D is the correct answer

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Re: In triangle, ABC above, if AB = BC, find the value of y ?  [#permalink]

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New post 24 Nov 2019, 22:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
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Re: In triangle, ABC above, if AB = BC, find the value of y ?   [#permalink] 24 Nov 2019, 22:09
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