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# Each angle in ∆QRS has a degree measurement of either x or y

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Each angle in ∆QRS has a degree measurement of either x or y [#permalink]  22 May 2017, 01:43
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Each angle in ∆QRS has a degree measurement of either x or y and the angles are expressed by the equation 2x + y = 180

 Quantity A Quantity B Perimeter of QRS 17

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: Each angle in ∆QRS has a degree measurement of either x or y [#permalink]  10 Oct 2017, 07:55
If the angles are such that 2x + y = 180, this means that two angles are equal and our triangle is isosceles. However, there are two cases depending on which angles are equal:

case 1) sides RQ and RS are equal and the perimeter is 7+7+4 = 18 -> answer A

case 2) sides SQ and SR are equal and the perimeter is 4+4+7 = 15 -> answer B

Since we can't say which one is greater than the other, the answer is D
Re: Each angle in ∆QRS has a degree measurement of either x or y   [#permalink] 10 Oct 2017, 07:55
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