Question

Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is
. 60 degree
. 40 degree
. 80 degree
. 20 degree ​

Answer 1

Step-by-step explanation:

40 degree

hope it will help u ✌️

Answer 2

$\bigstar$ Question:

• The angles of a Triangle are in the ratio 2 : 4 : 3. Find the smallest angle of the triangle.

$\bigstar$ Given:

The angles are in the ratio 2 : 4 : 3.

$\bigstar$To find:

• The smallest angle.

$\bigstar$ Solution:

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

Now, 2x + 4x + 3x = 180°

(Angle Sum Property Of A Triangle)

$\implies$ 9x = 180°

$\implies$ x = 180°/9

$\implies$ x = 20°

So the angles are:

• 2 × 20° = 40°
• 4 × 20° = 80°
• 3 × 20° = 60°

$\bigstar$ Answer:

$\therefore$ the smallest angle is 40° i.e. option (b) 40°