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# In the figure provided, BT = CT. If e = 110, then y =

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
In the figure provided, BT = CT. If e = 110, then y =  [#permalink]

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28 Aug 2018, 06:27
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Difficulty:

15% (low)

Question Stats:

91% (00:43) correct 9% (01:07) wrong based on 51 sessions

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In the figure provided, BT = CT. If e = 110, then y =

A. 30

B. 40

C. 45

D. 70

E. 110

Attachment:

lines.jpg [ 17.65 KiB | Viewed 579 times ]

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Re: In the figure provided, BT = CT. If e = 110, then y =  [#permalink]

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28 Aug 2018, 06:34
Bunuel wrote:

In the figure provided, BT = CT. If e = 110, then y =

A. 30

B. 40

C. 45

D. 70

E. 110

Attachment:
lines.jpg

y=180-(70+70)=40

Ans. (B)
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Re: In the figure provided, BT = CT. If e = 110, then y =  [#permalink]

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28 Aug 2018, 07:11
Bunuel wrote:

In the figure provided, BT = CT. If e = 110, then y =

A. 30

B. 40

C. 45

D. 70

E. 110

Attachment:
lines.jpg

Triangle TBC is an isosceles triangle with sides BT = CT

So, Angle TCB = Angle TBC = 180 - 110 = 70

So, Angle BTC = 40, Answer must be (B)
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In the figure provided, BT = CT. If e = 110, then y =  [#permalink]

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28 Aug 2018, 07:13
Bunuel wrote:

In the figure provided, BT = CT. If e = 110, then y =

A. 30

B. 40

C. 45

D. 70

E. 110

Attachment:
lines.jpg

since BT = CT
angle CBT = angle BCT
also,
BCT + e = 180
BCT + 110 = 180
BCT= CBT= 70
y = 180- (2*70) = 40
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Re: In the figure provided, BT = CT. If e = 110, then y =  [#permalink]

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28 Aug 2018, 11:56
Bunuel wrote:

In the figure provided, BT = CT. If e = 110, then y =

A. 30

B. 40

C. 45

D. 70

E. 110

Attachment:
The attachment lines.jpg is no longer available

First label the triangle :

e + w = 180

110 + w = 180

w = 70.

So , x = 70...........As BT = CT. Their angles must be equal.

x + w + y = 180

70 + 70 + y = 180

y = 40.

Attachments

Capture598.JPG [ 18.55 KiB | Viewed 358 times ]

Re: In the figure provided, BT = CT. If e = 110, then y =   [#permalink] 28 Aug 2018, 11:56
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