Question

Angles of a triangle are in the ratio 2:4:3. Find the smallest angle of the
triangle.​

Answer 1

Answer:

40°

Step-by-step explanation:

let angles of a triangle are 2x , 4x ,3x

Sum of all angles of a triangle = 180°

=> 2x + 4x + 3x = 180°

=> 9x = 180°

=> x = 20°

So all angle are 2×20 = 40° , 4×20 = 80° , 3×20 = 60°.

So smallest angle is 40°

Answer 2

let the ratio be angle as 2x, 4x, and 3x

we know that the sum of all angles of a triangle is 180 ⁰

so,

2x + 3x + 4x = 180

9x = 180

x = 180/9

x = 20

2x = 2 x 20 = 40

3 x 20 = 60

4 x 20 = 80

so smallest angle is 40

Hope it will help you friend ✌️✌️✨ XD.....