when an exterior angle is an acute angle so what about interior opposite angles
Answers
Answered by
1
Answer:
If an exterior angle is acute (smaller than 90∘ ), then it means the corresponding interior angle is obtuse (larger than 90∘ ).
To say that a triangle has two acute exterior angles is equivalent to saying that the triangle has two obtuse interior angles, which is not possible, because the sum of the interior angles of a triangle cannot be greater than 180∘ .
That's the reason that two exterior angles of a triangle cannot be both acute angles.
Similar questions