Question

.i) Can a triangle have all angles less than 60°? Give reason for your answer. ii)Can a triangle have two obtuse angles? Give reason for your answer.

Answer 1

Answer:

No, a triangle cannot have all angles less than 60°, because if all angles will be less than 60°, then their sum will not be equal to 180°. Hence, it will not be a triangle.

No, because if the triangle have two obtuse angles i.e., more than 90° angle, then the sum of all three angles of a triangle will not be equal to 180°.

Answer 2

No, a triangle can not have all the angles less than 60° because the sum of angles of a triangle is 180°.

So, all the angles can have a minimum angle of 60°.

No, a triangle can not have two obtuse angles because an obtuse angle is of more then 90° but less than 180°.

So, if a triangle have two obtuse angle then the sum of two angles will be 180° which is not possible.

Hope it helps