Question

the angles of a triangle are in ratio 2 ratio 4 ratio 3 then what is the measure of the smallest angle of the triangle​

Answer 1

Answer:

the answer is 40

Step-by-step explanation:

let the angles be 2x,3x,4x..

ATQ,

2x+3x+4x=180 (sum of 3 angles in a triangle is 180)

or, 9x=180

or,x=180/9

thus, x=20.

since the smallest angle is 2x..

Smallest angle=2×20=40.

I suppose it will be helpful for you

Answer 2

✬ Smallest Angle = 40° ✬

Step-by-step explanation:

Given:

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

To Find:

• What is the measure of the smallest angle?

Solution: Let x be the common in given ratios.

∴ Ratio will be :-

• ∠1 : ∠2 : ∠3 = 2x : 4x : 3x

• We know that the sum of all three angles of a triangle is of 180° •

$\implies{\rm }$ ∠1 + ∠2 + ∠3 = 180°

$\implies{\rm }$ 2x + 4x + 3x = 180°

$\implies{\rm }$ 9x = 180°

$\implies{\rm }$ x = 180°/9

$\implies{\rm }$ x = 20°

∴ The angles will be

• ∠1 = 2x = 2(20°) = 40°
• ∠2 = 4x = 4(20°) = 80°
• ∠3 = 3x = 3(20°) = 60°

Hence, The smallest angle is 2x = 40°.

____________________

★ ChecK ★

→ ∠1 + ∠2 + ∠3 = 180°

→ 40° + 80° + 60° = 180°

→ 180° = 180° { LHS = RHS }