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

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Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2252
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
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WE: Information Technology (Consulting)
A triangle has angles in the ratio of 3:8:9 respectively  [#permalink]

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06 Aug 2017, 03:32
1
1
00:00

Difficulty:

15% (low)

Question Stats:

92% (00:51) correct 8% (02:33) wrong based on 41 sessions

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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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Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
Re: A triangle has angles in the ratio of 3:8:9 respectively  [#permalink]

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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 $$= 81^{\circ}$$

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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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