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Math Expert V
Joined: 02 Sep 2009
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The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Question Stats: 94% (00:29) correct 6% (00:28) wrong based on 31 sessions

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The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

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CEO  V
Joined: 03 Jun 2019
Posts: 2910
Location: India
GMAT 1: 690 Q50 V34 WE: Engineering (Transportation)
Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Bunuel wrote:
The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

Given: The angles of a triangle are in the ratio of 2:3:4.

Asked: What is the degree measure of the smallest angle?

Let the angles be 2x, 3x & 4x.

2x+3x+4x = 9x = 180
x=20

Smallest angle = 2x = 2*20 =40

IMO C
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Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

Let the three angles be 2x,3x,4x .The sum of three angles is 2x+3x+4X=180.9x=180,x=20.So smallest angle is 2x=40.therefore correct choice is "C"
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Joined: 18 May 2019
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Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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The angles are in a ratio of 2:3:4, implying the smallest correspond to 2.
Smallest angle =(2/(2+3+4))*180
=(2*180)/9 = 40.

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GMAT Club Legend  V
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Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Bunuel wrote:
The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

given 9x=180 ; x=20
so smallest angle ; 40
IMO C
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The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Bunuel wrote:
The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

$$\frac{2}{(2+3+4)}*180 = 40$$, Answer must be (C)
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Location: United States (KS)
GMAT 1: 600 Q46 V27 Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Bunuel wrote:
The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

9x=180. x=20. Smallest angle is 2x which is 40.
IMO C
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Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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1
Bunuel wrote:
The angles of a triangle are in the ratio of 2:3:4. What is the degree measure of the smallest angle?

(A) 20
(B) 30
(C) 40
(D) 45
(E) 60

We can create the equation:

2x + 3x + 4x = 180

9x = 180

x = 20

Thus, the smallest angle is 2(20) = 40 degrees.

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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: The angles of a triangle are in the ratio of 2:3:4. What is the degree   [#permalink] 14 Aug 2019, 16:45

# The angles of a triangle are in the ratio of 2:3:4. What is the degree  