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XYZ is isosceles with .
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02 Jun 2022, 00:42
02 Jun 2022, 00:42
Expert Reply
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Question Stats:
94% (00:49) correct
5% (01:05) wrong based on 18 sessions
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\(\triangle XYZ\) is isosceles with \(\overline{XY} \approx \overline{YZ}\). If m \(\angle Y = 36°\), what is the measure of \(\angle X\)?
A. 36°
B. 54°
C. 60°
D. 72°
E. 144°
A. 36°
B. 54°
C. 60°
D. 72°
E. 144°
Part of the project: GRE QCQ & PS 3 Questions Every One DAILY Challenge - (2022)
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GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
Re: XYZ is isosceles with .
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03 Jun 2022, 08:43
03 Jun 2022, 08:43
1
\(XYZ\) is isosceles.
\(\overline{XY} \approx \overline{YZ}\)
So Angle \(Z\) = Angle \(X\)
m \(\angle Y = 36°\)
Total of the angles \(= 180°\)
\(X + Y + Z = 180°\)
Since \(X = Z\)
\(X + X = 180 - 36 = 144\)
\(X = 72°\)
Answer \(D\)
\(\overline{XY} \approx \overline{YZ}\)
So Angle \(Z\) = Angle \(X\)
m \(\angle Y = 36°\)
Total of the angles \(= 180°\)
\(X + Y + Z = 180°\)
Since \(X = Z\)
\(X + X = 180 - 36 = 144\)
\(X = 72°\)
Answer \(D\)
gmatclubot
Re: XYZ is isosceles with . [#permalink]
03 Jun 2022, 08:43
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