Question

the angles of a triangle are in the ratio 2:3:5. what is the largest angle of the triangle​

Answer 1

Answer :

The largest angle is 90°

Step-by-step explanation :

Let us assume the unknown angles be 2x , 3x and 5x.

We know that,

Angle a + Angle b + Angle c = 180°

Therefore,

⟹ 2x + 3x + 5x = 180

⟹ 5x + 5x = 180

⟹ 10x = 180

⟹ x = 180 / 10

⟹ x = 18

Therefore, the value of x is 18.

Now, the angles are,

• 2x = 36°
• 3x = 54°
• 5x = 90°

Therefore, the angles are 36°, 54° and 90°.

Now, Verification

⟹ 36° + 54° + 90° = 180°

⟹ 90° + 90° = 180°

⟹ 180° = 180°

L.H.S = R.H.S

Hence, Verified !