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 the angles be x,

a.t.q.

2x+3x+4x= 180° ( by angle sum property)

9x= 180°

x= 20°

2x=40°

3x=60°

4x=80°

therefore, smallest angle is 40°

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Answer 2

Given

Angles of a triangle are in the ratio 2:4:3

To Find

The smallest angle of the triangle

Now let

∠A = 2x , ∠B = 4x and ∠C = 3x

We know that

The sum of all interior angle of triangle is 180⁰

∠A + ∠B + ∠C = 180⁰

Put The Value on Formula

2x + 4x + 3x = 180⁰

6x + 3x = 180⁰

9x = 180⁰

x = 180⁰/9

x = 20⁰

We get

∠A = 2x = 2 × 20⁰ = 40⁰

∠B = 4x = 4 × 20⁰ = 80⁰

∠C = 3x = 3 × 20⁰ = 60⁰

Answer

The Smallest angle of the triangle is ∠A = 40⁰

Now Check Our Answer

∠A + ∠B + ∠C = 180⁰

40⁰ + 80⁰ + 60⁰ = 180⁰

120⁰ + 60⁰ = 180⁰

180⁰ = 180⁰

LHS = RHS