Question

The angles of a triangle are in the
ratio 2.5.3 find the angles of that
triangle.​

Answer 1

Let the ratio be x = 2x , 5x , 3x

The sum ot all angles of triangle=180°

2x + 5x + 3x = 180 °

10x = 180 °

x = 180 / 10

x = 18

2x = 2 × 18 = 36

5x = 5 × 18 = 90

3x = 3 × 18 = 54

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Answer 2

Answer:

• Angles are 36°, 54°, 90°.

Given:

• Angles of triangle in ratio 2 : 5 : 3.

To Prove:

• All angles.

Solution:

Let the angles of triangle be 2x, 3x, 5x.

As we know,

• Sum of interior angles of a triangle is 180°.

According to the question,

⇒ ∠A + ∠B + ∠C = 180°

⇒ 2x + 3x + 5x = 180°

⇒10x = 180°

⇒x = 18°

Then,

• 2x = 2 × 18 = 36°
• 3x = 3 × 18 = 54°
• 5x = 5 × 18 = 90°

∴ Angles are 36°, 54°, 90°

Hence,

• Angles are 36°, 54°, 90°.