Question

If the sum of all the angles of a triangle is 180°, then atleast ____ angle/angles of the triangle will be acute.

• A. 1
• B. 2
• C. 3
• D. 0

Answer 1

The correct option is B 2

If one of the angle of the triangle is 90°, then the sum of the other two angles will be 180° - 90° = 90°.
It means the other two angles will be acute angles.

If one of the angle of triangle is obtuse, then the sum of other two angles will be less than 90°.
It means the other two angles will be acute angles.

In other cases, all the three angles of the triangle will be acute angles.
So, atleast 2 angles of the triangle must be acute angles.