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

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

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New post 01 Sep 2017, 00:46
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A
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C
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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
2017-09-01_1134_002.png [ 6.34 KiB | Viewed 662 times ]
[Reveal] Spoiler: OA

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

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New post 01 Sep 2017, 03:25
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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, 03:51, edited 1 time in total.

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

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New post 01 Sep 2017, 03:41
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

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

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

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

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New post 02 Sep 2017, 05:45
Bunuel wrote:
Image
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

Answer: C

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

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New post 02 Sep 2017, 07:21
Bunuel wrote:
Image
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

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

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New post 07 Sep 2017, 07:11
Bunuel wrote:
Image
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.

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

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New post 07 Sep 2017, 22:12
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

Answer : C

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

Re: If RS = ST = TR in the figure above, what is the value of x?   [#permalink] 07 Sep 2017, 22:12
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