Question
Can a triangle have:
Each angles less than $60^\circ$ ?
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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