What can you say about each of the interior opposite angles , when the exterior angle is an acute angle?*1 pointBoth are acuteBoth are obtuseOne is obtuse and the other one is acute
Question
What can you say about each of the interior opposite angles , when the exterior angle is an acute angle?*1 pointBoth are acuteBoth are obtuseOne is obtuse and the other one is acute
Solution
When the exterior angle of a triangle is an acute angle, both of the interior opposite angles are acute. This is because the sum of the interior angles of a triangle is always 180 degrees. If one angle is acute (less than 90 degrees), the other two angles must also be acute in order for the sum to be less than or equal to 180 degrees. Therefore, both interior opposite angles are acute.
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