Question

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

• A. 40
• B. 30
• C. 60
• D. 80

Answer 1

The correct option is A

40

The sum of all the three angles of a triangle = 180${}^{\circ }$

Since the angles are in the ratio 2 : 4 : 3, let x be a factor such that,

2x + 4x + 3x=180${}^{\circ }$

=> 9x = 180${}^{\circ }$

=> x = 20${}^{\circ }$

Hence the three angles of the triangle are:

=> 2 × x = 2 × 20${}^{\circ }$ = 40${}^{\circ }$

=> 4 × x = 4 × 20${}^{\circ }$ = 80${}^{\circ }$

=> 3 × x = 3 × 20${}^{\circ }$ = 60${}^{\circ }$

So the smallest angle in the given triangle is 40${}^{\circ }$.