Question

angles of a triangle are in the ratio 2:3:4, the smallest angle of the triangle is​

Answer 1

☆ Solution ☆

Given :-

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

To Find :-

• The smallest angle of triangle.

Step-by-Step-Explaination :-

As we know that:-

The sum of all angle of triangle = 180° .

Let the angles be 2x, 3x and 4x

According to question,

2x + 3x + 4x = 180°

9x = 180°

x = 180/9

x = 20°

So,

Angles are :-

2x = 2 × 20 = 40°

3x = 3 × 20 = 60°

4x = 4 × 20 = 80°

Therefore,

Smallest angle of triangle is 40°.

Answer 2

Answer:

.

The smallest angle = 40

.

Step-by-step explanation:

$angles \: of \: a \: triangle \: are \: in \: the \: ratio \: = 2:3:4 \\ \\ therefore \: \: \: let \: 1st \: angle = 2x \\ \\ 2nd \: angle = 3x \\ \\ 3rd \: angle = \: 4x \\ \\ we \: know \: that \: sum \: of \: all \: interior \: angles \: of \: a \: triangle \: is \: {180}^{o} \\ \\ therefore \: 2x + 3x + 4x = 180 \\ \\ 9x = 180 \\ \\ x = \frac{180}{9} \\ \\ x = 20 \\ \\ 1st \: angle \: = 2x = 2 \times 20 = 40 \\ \\ this \: is \: ur \: required \: answer \: :):):):):)$