Question
Can a triangle have: Each angles less than $60^\circ $?
✓
Answer
No.
For example:
Let the two angles be $50^\circ $ and $40^\circ $, which on adding, gives $90^\circ .$
Thus, they cannot form a triangle whose third angle is $180^\circ - 90^\circ = 90^\circ ,$ which is greater than $60^\circ .$
For example:
Let the two angles be $50^\circ $ and $40^\circ $, which on adding, gives $90^\circ .$
Thus, they cannot form a triangle whose third angle is $180^\circ - 90^\circ = 90^\circ ,$ which is greater than $60^\circ .$
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