Question
Can a triangle have:
Each angles more than $60^\circ$?
Each angles more than $60^\circ$?
✓
Answer
No.
For example: Let the two angles be $70^\circ$ and $80^\circ,$ which on adding, gives $150^\circ.$
They cannot form a triangle whose third angle is $180^\circ - 150^\circ^= 30^\circ,$ which is less than $60^\circ.$
For example: Let the two angles be $70^\circ$ and $80^\circ,$ which on adding, gives $150^\circ.$
They cannot form a triangle whose third angle is $180^\circ - 150^\circ^= 30^\circ,$ which is less than $60^\circ.$
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