Question

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

विकल्प

• 60°

• 40°

• 80°

• 20°

Answer 1

Angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is 40°.

Explanation:

Given, the ratio of angles of a triangle is 2 : 4 : 3.

Let the angles of a triangle be ∠A, ∠B and ∠C.

∠A = 2x, ∠B = 4x and ∠C = 3x ,

∠A + ∠B + ∠C = 180°  ...[Sum of all the angles of a triangle is 180°]

2x + 4x + 3x = 180°

9x = 180°

x = `(180^circ)/9` = 20°

∠A = 2x = 2 × 20° = 40°

∠B = 4x = 4 × 20° = 80°

∠C = 3x = 3 × 20° = 60°

Hence, the smallest angle of a triangle is 40°.