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Question 8
Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is:

A) 60
B) 40
C) 80
D) 20

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Solution

Angles are in the ratio 2 : 4 : 3.
Let the angles of a triangle be
A, B and C.
Let A=2x, B=4x,C=3x

In ΔABC, A+B+C=180
[Sum of all the angles of a triangle is 180]
2x+4x+3x=180
9x=180
x=1809=20

A=2x=2×20=40
B=4x=4×20=80
and C=3x=3×20=60

Hence, the smallest angle of triangle is 40.

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