If two adjacent angles are not equal to one another, then one of them is obtuse and the other is acute.
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If two adjacent angles are not equal to one another, then one of them is obtuse and the other is acute.
The answer is correct because the sum of two acute angles will be less than 180 degrees and the sum of two obtuse angles will be greater than 180 degrees
True
If one of two corresponding angles is a right angle, then the other angle will also be a right angle.
No! If both angles were acute (less than 90°), their sum would be less than 180°. Since adjacent angles must sum to exactly 180 degrees, one must be acute and one obtuse when they're unequal.
If adjacent angles are equal and sum to 180°, then each angle is 90°. These are called right angles - neither acute nor obtuse, but exactly 90°!
Impossible! Two obtuse angles (each greater than 90°) would sum to more than 180°. Since adjacent angles must equal exactly 180°, only one can be obtuse.
Think of it this way: if angles are unequal and sum to 180°, the smaller one is acute (less than 90°) and the larger one is obtuse (greater than 90°).
Adjacent angles are supplementary - they always add up to 180°. This is the fundamental rule that makes the statement in the question true!
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