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In isosceles RST what is the measure of R (1) The measure of

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In isosceles RST what is the measure of R (1) The measure of [#permalink] New post 05 Jul 2008, 02:21
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In isosceles RST what is the measure of R

(1) The measure of T is 100°.

(2) The measure of S is 40°.
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Re: DS: RST triagle [#permalink] New post 05 Jul 2008, 03:32
In isosceles RST what is the measure of R

(1) The measure of T is 100°.

(2) The measure of S is 40°.

isosceles => 2 angles are the same

1) T = 100, => R & S must equal 40 each since RST must be 180
suff

2) S = 40, => R can be 40 (T = 100) OR R can be 100 (T = 40)
insuff

Answer should be (A)
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Re: DS: RST triagle [#permalink] New post 05 Jul 2008, 05:07
i get A as well. You know from stem that you are dealing with an isoceles triangle, and so two sides are equal in terms of angles.

From stat 1, you know that one angle is 100 .. since the sum of angles in a triangle is only 180, this angle can't be the isoceles one since 100+100 = 200 >180 . So we must have 100 + 2x=180, and x=40.

From stat 2, you know one side is 40, but this side may or may not be part of the isoceles pair ... insuff.
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Re: DS: RST triagle [#permalink] New post 06 Jul 2008, 13:37
A

1. Suff
Sum of angles = 180
180-100 = 80
rem angles = 40 ,40

2. Insuff
40:40:100
40:70:70
Re: DS: RST triagle   [#permalink] 06 Jul 2008, 13:37
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