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A triangle has angles in the ratio of 3:8:9 respectively

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A triangle has angles in the ratio of 3:8:9 respectively [#permalink]

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New post 06 Aug 2017, 03:32
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A triangle has angles in the ratio of 3:8:9 respectively. What is the measure of the largest angle?

A. 27
B. 72
C. 81
D. 99
E. 153

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Re: A triangle has angles in the ratio of 3:8:9 respectively [#permalink]

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New post 06 Aug 2017, 03:47
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Skywalker18 wrote:
A triangle has angles in the ratio of 3:8:9 respectively. What is the measure of the largest angle?

A. 27
B. 72
C. 81
D. 99
E. 153


Let the unknown measure of angle be \(= x\)

Ratio of angles \(= 3 : 8 : 9\)

\(3x + 8x + 9x = 20x\)

Angles in a triangle add to \(180^{\circ}\).

\(20x = 180\)

\(x = \frac{180}{20} = 9\)

Therefore measure of largest angle is;

\(9x = 9*9 = 81\)

Measure of the largest angle \(= 81^{\circ}\)

Answer (C)...

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Re: A triangle has angles in the ratio of 3:8:9 respectively   [#permalink] 06 Aug 2017, 03:47
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