Correct Answer - Option 1 : 90°

**Given: **

Two angles are equal.

The third angle is 45°more than the base angle

**Calculation:**

Let assume that equal angles measure is x

And, third angle = x + 45°

According to the question

⇒ x + x + x + 45° = 180°

⇒ 3x + 45° = 180°

⇒ 3x = 180° - 45°

⇒ 3x = 135°

⇒ x = 135°/3

⇒ x = 45°

Greatest angle = x + 45°

⇒ 45° + 45° = 90°

**∴ The greatest angle is 90° **