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1. Can two obtuse angles be supplementary?
2. Can two acute angles be supplementary?
3. Can two right angles be supplementary?
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- No, two obtuse angles cannot be supplementary angles. Obtuse angles are angles that have a measure greater than 90°.
- No, two acute angles cannot form a supplementary angle. By definition, acute angles are the angles that measure the angle greater than 0° and less than 90°. If you add two acute angles in which each angle is large as possible, its sum will be less than 180°.
- Yes, 2 right angles can form a supplementary angle. We know that when the measure of an angle is exactly 90°, then it is known as a right angle. When two right angles are added, it is possible to get the supplementary angle.
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