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Math Expert V
Joined: 02 Sep 2009
Posts: 57155
The angles of a triangle are in the ratio of 2:3:4. What is the degree  [#permalink]

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Question Stats: 92% (00:25) correct 8% (00:28) wrong based on 26 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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Joined: 03 Jun 2019
Posts: 955
Location: India
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"
Manager  G
Joined: 18 May 2019
Posts: 154
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.

Answer is therefore 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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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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Manager  S
Joined: 18 Dec 2017
Posts: 162
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.

Answer: C
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