Math, asked by selena49, 1 month ago

when an exterior angle is an acute angle so what about interior opposite angles​

Answers

Answered by thaniskanaidu1234
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.

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