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# If RS = ST = TR in the figure above, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 43314

Kudos [?]: 139337 [0], given: 12785

If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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31 Aug 2017, 23:46
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Difficulty:

15% (low)

Question Stats:

97% (00:12) correct 3% (00:02) wrong based on 56 sessions

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If RS = ST = TR in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 120
(D) 135
(E) 180

[Reveal] Spoiler:
Attachment:

2017-09-01_1134_002.png [ 6.34 KiB | Viewed 832 times ]
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139337 [0], given: 12785

Intern
Joined: 29 Jul 2017
Posts: 3

Kudos [?]: 2 [2], given: 40

If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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01 Sep 2017, 02:25
2
KUDOS
IMO, answer is C.

The information given indicates that RST is an equilateral triangle making $$x^{\circ} = 180^{\circ} - {\angle}SRT = 180^{\circ}-60^{\circ} = 120^{\circ}$$

Last edited by sanahazari on 01 Sep 2017, 02:51, edited 1 time in total.

Kudos [?]: 2 [2], given: 40

Intern
Joined: 08 Aug 2015
Posts: 49

Kudos [?]: 11 [0], given: 41

Location: India
Concentration: Strategy, Marketing
GMAT 1: 680 Q49 V34
GPA: 3
WE: Marketing (Internet and New Media)
Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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01 Sep 2017, 02:41
The triangle is equilateral. Hence, all angles are 60 degrees. Since angle x is created by merely extending RT, we can conclude that the measure of x is 180-60 = 120 degrees

Kudos [?]: 11 [0], given: 41

Intern
Joined: 28 Mar 2017
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Kudos [?]: 0 [0], given: 2

Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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01 Sep 2017, 09:10
given a equilateral triangle .... all sides at 60.
x = 180 - 60 = 120

Kudos [?]: 0 [0], given: 2

VP
Joined: 26 Mar 2013
Posts: 1362

Kudos [?]: 322 [0], given: 170

Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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02 Sep 2017, 04:45
Bunuel wrote:

If RS = ST = TR in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 120
(D) 135
(E) 180

[Reveal] Spoiler:
Attachment:
2017-09-01_1134_002.png

Equilateral triangle means all angles = 60

so x =180 -60 =120

Kudos [?]: 322 [0], given: 170

Manager
Joined: 19 Jul 2017
Posts: 85

Kudos [?]: 13 [0], given: 85

Location: India
Concentration: General Management, Strategy
GPA: 3.5
Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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02 Sep 2017, 06:21
Bunuel wrote:

If RS = ST = TR in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 120
(D) 135
(E) 180

[Reveal] Spoiler:
Attachment:
2017-09-01_1134_002.png

RS=ST=TR implies the triangle is an equilateral triangle with each angle 60.

we know that x+60 =180 as they are angles on the line. So x=120.

Ans:C

Kudos [?]: 13 [0], given: 85

Target Test Prep Representative
Status: Founder & CEO
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Joined: 14 Oct 2015
Posts: 2014

Kudos [?]: 1084 [0], given: 4

Location: United States (CA)
Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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07 Sep 2017, 06:11
Bunuel wrote:

If RS = ST = TR in the figure above, what is the value of x?

(A) 60
(B) 90
(C) 120
(D) 135
(E) 180

Since we have an equilateral triangle, each interior angle is 60 degrees, and thus x = 180 - 60 = 120.

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Kudos [?]: 1084 [0], given: 4

Intern
Joined: 05 Oct 2014
Posts: 23

Kudos [?]: 12 [0], given: 88

Concentration: Finance, Entrepreneurship
Re: If RS = ST = TR in the figure above, what is the value of x? [#permalink]

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07 Sep 2017, 21:12
As RS= ST=TR , it is equilateral triangle with each angle measures 60.

So, x = angle RST + angle STR (An exterior angle of a triangle is equal to the sum of the opposite interior angles)
= 60 +60
= 120

Kudos [?]: 12 [0], given: 88

Re: If RS = ST = TR in the figure above, what is the value of x?   [#permalink] 07 Sep 2017, 21:12
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# If RS = ST = TR in the figure above, what is the value of x?

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