ve. Show your complete solution. The interior angles of a triangle is in a ratio of 2:3:5. Find the biggest angle.

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To find the angles of a triangle given their ratio, we can follow these steps:

1. **Understand the ratio**: The angles are in the ratio of 2:3:5. Let's denote the angles as $$2x$$, $$3x$$, and $$5x$$.

2. **Use the property of triangles**: The sum of the interior angles of a triangle is always $$180^\circ$$. Therefore, we can set up the equation:
   $$
   2x + 3x + 5x = 180^\circ
   $$

3. **Combine like terms**:
   $$
   10x = 180^\circ
   $$

4. **Solve for $$x$$**:
   $$
   x = \frac{180^\circ}{10} = 18^\circ
   $$

5. **Find each angle**:
   - The first angle: $$2x = 2 \times 18^\circ = 36^\circ$$
   - The second angle: $$3x = 3 \times 18^\circ = 54^\circ$$
   - The third angle: $$5x = 5 \times 18^\circ = 90^\circ$$

6. **Identify the biggest angle**: The angles of the triangle are $$36^\circ$$, $$54^\circ$$, and $$90^\circ$$. The biggest angle is:
   $$
   \boxed{90^\circ}
   $$
The biggest angle in the triangle is $$90^\circ$$.

ve. Show your complete solution. The interior angles of a triangle is in a ratio of 2:3:5. Find the biggest angle.

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