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11 Aug 2019, 05:44
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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
(A) 20
(B) 30
(C) 40
(D) 45
(E) 60
11 Aug 2019, 07:40
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Bunuel
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
(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
11 Aug 2019, 07:47
Kudos
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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"
(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"
