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# In ∆ ABC above, if AB = BC, then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 59588
In ∆ ABC above, if AB = BC, then x =  [#permalink]

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24 Aug 2017, 23:45
00:00

Difficulty:

25% (medium)

Question Stats:

96% (00:21) correct 4% (00:06) wrong based on 41 sessions

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In ∆ ABC above, if AB = BC, then x =

(A) 35
(B) 55
(C) 70
(D) 110
(E) 135

Attachment:

2017-08-25_1041.png [ 12.98 KiB | Viewed 1796 times ]

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In ∆ ABC above, if AB = BC, then x =  [#permalink]

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25 Aug 2017, 00:00

In ∆ ABC above, since AB = BC, then angles opposite to them is equal.
Since one of the angles is 35, the other angle is 35 also.

The sum of three angles in a triangle is 180, and by this logic,
the third angle is 180 - 70 = 110

Therefore, x = 110(Option D)
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Joined: 06 Dec 2016
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Re: In ∆ ABC above, if AB = BC, then x =  [#permalink]

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25 Aug 2017, 08:09
If AB = BC
then angle c = angle a

angle b = 180 -70 = 110
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Joined: 26 Mar 2013
Posts: 2343
Re: In ∆ ABC above, if AB = BC, then x =  [#permalink]

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26 Aug 2017, 19:31
Bunuel wrote:

In ∆ ABC above, if AB = BC, then x =

(A) 35
(B) 55
(C) 70
(D) 110
(E) 135

Attachment:
2017-08-25_1041.png

AB = BC.means isosceles triangle & both angles are equal =35

x = 180 - 35 -35 = 110

Re: In ∆ ABC above, if AB = BC, then x =   [#permalink] 26 Aug 2017, 19:31
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