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°