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# If the degree measures of two angles of an isosceles triangle are inIf

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Posts: 51218
If the degree measures of two angles of an isosceles triangle are inIf  [#permalink]

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20 May 2017, 05:24
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Difficulty:

25% (medium)

Question Stats:

78% (01:22) correct 23% (01:13) wrong based on 60 sessions

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If the degree measures of two angles of an isosceles triangle are in the ratio 1:3, what is the degree measure of the largest angle if it is not a base angle?

(A) 26°
(B) 36°
(C) 51°
(D) 92°
(E) 108°

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Re: If the degree measures of two angles of an isosceles triangle are inIf  [#permalink]

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20 May 2017, 05:59
Let the base angle be x. Then the other angle is also x.
Ratio given is 1:3, so the largest angle is 3x.

Now sum of three angles = x + x + 3x = 5x = 180
x = 36

So the largest angle = 3*36 = 108 degrees. Hence E
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Re: If the degree measures of two angles of an isosceles triangle are inIf  [#permalink]

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26 Nov 2017, 11:03
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Hi All,

We're told that two angles of an ISOSCELES triangle are in the ratio 1:3. We're asked for the degree measure of the LARGEST angle if it is not a base angle.

Since we're dealing with an ISOSCELES triangle, we know that two of the angles are the SAME. Thus, the ratio of the angles is either 1:1:3 or 1:3:3. We're told that the largest angle is NOT one of the two base angles, so we're dealing with the first possibility (in which the angles can be referred to as X, X and 3X). In that triangle we have....

5X = 180 degrees
X = 36 degrees
The three angles are 36, 36 and 108

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Re: If the degree measures of two angles of an isosceles triangle are inIf &nbs [#permalink] 26 Nov 2017, 11:03
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