Question

The smallest angle of a triangle if angles of a triangle are an the ratio 2 : 4 : 3 is
10°
20°
30°
40°​

Answer 1

Answer:

40

Step-by-step explanation:

The angles of the triangle are in the ratio: 2:4:3

Let the angles be 2x,4x,3x

By Angle sum property,

2x+4x+3x=180

9x=180

x=20

Thus, angles are, 40 ,80 ,60

Thus, the smallest angle = 40

Answer 2

Answer:

Option d) 40°

Step-by-step explanation:

Let the common ratio be 'x'

Therefore, the angles are 2x, 4x and 3x

Using angle sum property of triangle

2x + 4x + 3x = 180°

9x = 180°

x = 180°/9

x = 20°

Smallest ratio = 2x

Smallest angle = 2×20° = 40°

Hope it helps you!