Question

the angles of a triangle are in the ratio 2:3:4 find the angle of the triangle
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Answer 1

Answer:

40°, 60°, 80°

Step-by-step explanation:

As the ratio is 2:3:4, let the angles are 2a, 3a and 4a.

We know, sum of angles of triangle is 180°. So 2a, 3a and 4a must add upto 180°.

=> 2a + 3a + 4a = 180°

=> 9a = 180°

=> a = (180/9)°

=> a = 20°

Therefore, angles are:

2a = 2(20°) = 40°

3a = 3(20°) = 60°

4a = 4(20°) = 80°

Answer 2

Answer:

✯ Given :-

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

✯ To Find :-

• What is the angle of the triangle.

✯ Solution :-

⋆ Let, the angle are 2x, 3x and 4x.

↛ We know that,

✪ The angle sum property, the sum of the interior angle of a triangle is 180°. ✪

➣ According to the question,

↦2x + 3x + 4x = 180°

↦ 9x = 180°

↦x = $\sf\dfrac{\cancel{180°}}{\cancel{9}}$

➠ x = 20°

$\therefore$ The required angles are :-

• 2x = 2(20°) = 40°
• 3x = 3(20°) = 60°
• 4x = 4(20°) = 80°

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