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The ratio of the degree measures of the angles of a triangl

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The ratio of the degree measures of the angles of a triangl [#permalink] New post 20 Jun 2017, 08:24
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The ratio of the degree measures of the angles of a triangle is 2 : 3 : 4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°
[Reveal] Spoiler: OA

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Re: The ratio of the degree measures of the angles of a triangl [#permalink] New post 20 Jun 2017, 09:16
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Carcass wrote:


The ratio of the degree measures of the angles of a triangle is 2 : 3 : 4. Which of the following is the sum of the degree measures of the smallest and largest angles?

A) 40°

B) 80°

C) 100°

D) 120°

E) 140°


The 3 angles of a triangle add to 180°

The ratio of the degree measures of the angles of a triangle is 2 : 3 : 4
2 + 3 + 4 = 9

So, take 180° and divide by 9 to get: 20°
So, the ratio 2 : 3 : 4 = (2)(20°) : (3)(20°) : (4)(20°)
= 40° : 60° : 80°

Which of the following is the sum of the degree measures of the smallest and largest angles?
40° + 80° = 120°

Answer:
[Reveal] Spoiler:
D


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Re: The ratio of the degree measures of the angles of a triangl   [#permalink] 20 Jun 2017, 09:16
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