Question

If measure of angle of triangle are in ratio of 3:4:5 what
is the measure of smallest angle of triangle
O 25°
O 30
O
450
O 60°​

Answer 1

$\large\bf\underline {To \: find:-}$

• we need to find the measure of smallest angle of triangle.

$\large\bf\underline{Given:-}$

• Ratio of measure of angles of angles is 3:4:5.

$\huge\bf\underline{Solution:-}$

➳ Ratio of angles 3:4:5 .

Let the angles of triangle be 3x , 4x , and 5x

We know that,

• Sum of all angles of triangle is 180°

➳ 3x + 4x + 5x = 180

➳ 12x = 180

➳ x = 180/12

➳ x = 15

All angles of triangle are :-

➳ 3x = 3 × 15 = 45

➳ 4x = 4 × 15 = 60

➳ 5x = 5 × 15 = 75

So,

⪼ Measure of Smallest angle is 45°

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Answer 2

QUESTION :-

If measure of angle of triangle are in ratio of 3:4:5 what

If measure of angle of triangle are in ratio of 3:4:5 whatis the measure of smallest angle of triangle

◆ 25°

◆ 30° $\sf$

◆ 45°

◆ 75°

To find :-

• Measure of smallest angle = ?

Solution :-

let the all ratio be in the form of x

So,

→ Ratios will be = 3x , 4x , 5x

As we know,

Sum of 3 angle of ∆ is = 180

Therefore,

→ A + B + C = 180

→ 3x + 4x + 5x = 180

→ 12x = 180

→ x = 180/12

→ x = 15

Now,

• Putting value of x in given ratios
• 3x = 3×15 = 45°
• 4x = 4×15 = 60°
• 5x = 5×15 = 75°

Hence,

• Smallest angle of triangle is 45°