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

## Answers

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**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**** ****!**

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