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If the degree measures of the angles of a triangle are x, y, and z, wh
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28 Feb 2022, 04:00
28 Feb 2022, 04:00
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If the degree measures of the angles of a triangle are x, y, and z, where \(x = \frac{y}{3}\) and \(y = \frac{3z}{5}\), what is the value of \(z\)?
(A) 20
(B) 30
(C) 50
(D) 60
(E) 100
(A) 20
(B) 30
(C) 50
(D) 60
(E) 100
Re: If the degree measures of the angles of a triangle are x, y, and z, wh
[#permalink]
28 Feb 2022, 19:40
28 Feb 2022, 19:40
1
Angles of a triangle- \(x , y , z\)
\(x = \frac{y}{3}\) and \(y = \frac{3z}{5}\)
\(y = 3x\) & \(y = \frac{3z}{5}\)
\(3x = \frac{3z}{5}\) so \(x = \frac{z}{5}\)
The sum of the angles of a triangle = \(180\)
\(x + y + z = 180\)
\(\frac{z}{5} + \frac{3z}{5} + z = 180\)
\(\frac{9z}{5} = 180\)
\(z = 100\)
Answer E
\(x = \frac{y}{3}\) and \(y = \frac{3z}{5}\)
\(y = 3x\) & \(y = \frac{3z}{5}\)
\(3x = \frac{3z}{5}\) so \(x = \frac{z}{5}\)
The sum of the angles of a triangle = \(180\)
\(x + y + z = 180\)
\(\frac{z}{5} + \frac{3z}{5} + z = 180\)
\(\frac{9z}{5} = 180\)
\(z = 100\)
Answer E
gmatclubot
Re: If the degree measures of the angles of a triangle are x, y, and z, wh [#permalink]
28 Feb 2022, 19:40
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