Question

4 3 The three angle of triangle are in the ratio 2:3:4 Find their measurement
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Answer 1

Question:-

The three angle of triangle are in the ratio 2:3:4 Find their measurement

Answer:-

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

We know that the sum of all the angles of a traingle is 180° , so,

▶️2x + 3x + 4x = 180°

▶️ 9x = 180°

▶ ️x = 180/9

▶️ x = 20

2x = 2×20 = 40°

3x = 3×20 = 60°

4x = 4×20 = 80°

Varification:-

40° + 60° + 80° = 180 (sum of all the angles of traingle is 180°)

Answer 2

Answer:

2x = 40°, 3x = 60° and 4x = 80°

Step-by-step explanation:

At first let the three angles be

2x, 3x, and 4x

As we know that the sum of all the angles of a triangle is 180°

Therefore,

2x+3x+4x = 180°

9x = 180°

x = 180/9

x = 20

So the measurements of 2:3:4 are,

2x = 2×20 = 40°

3x = 3×20 = 60°

4x = 4×20 = 80°

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Putting the values instead of x

(2×20)°+(3×20)°+(4×20)° = 180°

40°+60°+80° = 180°

100°+80° = 180°

180° = 180°