Question

11. If the measures of angles of triangle are in the ratio 3:4:5, what is the measure
of the smallest angle of triangle.​

Answer 1

Step-by-step explanation:

3x+4x+5x=180

12x=180

x=180÷12

x=15

3x=15×3=45

4x=15×4=60

5x=15×5=75

Smallest angle = 45

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Answer 2

Step-by-step explanation:

Given : The measures of angles of a triangle are in the ratio of 3 : 4 : 5.

Let, ∠1 = 3x , ∠2 = 4x and ∠3 = 5x

We know that, the sum of  three angles of a triangle is 180°.

∠1 + ∠2 + ∠3 =  180°

3x + 4x + 5x =  180°

12x =  180°

x =  180°/12

x = 15°

Now,

∠1 = 3x = 3 × 15° = 45°

∠2 = 4x = 4 × 15° = 60°

∠3 = 5x = 5 × 15° = 75°

Hence, the measure of the smallest angle of the triangle is 45°.