Is it possible to have two adjacent angles, one of which is obtuse and the other right?
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Is it possible to have two adjacent angles, one of which is obtuse and the other right?
Remember the definition of adjacent angles:
Adjacent angles always complement each other up to one hundred eighty degrees, that is, their sum is 180 degrees.
This situation is impossible since a right angle equals 90 degrees, an obtuse angle is greater than 90 degrees.
Therefore, together their sum will be greater than 180 degrees.
No
Does the diagram show an adjacent angle?
Adjacent angles must share a common side and their measures must add up to exactly 180 degrees. They're like two puzzle pieces that fit together to form a straight line.
No, never! A right angle is exactly 90°, and obtuse angles are greater than 90°. Since 90° + (greater than 90°) > 180°, they can't be adjacent.
The largest angle adjacent to a right angle (90°) would be 90 degrees because 90° + 90° = 180°. Anything larger would exceed the 180° requirement.
No! Complementary angles add up to 90 degrees, while adjacent angles add up to 180 degrees. Don't confuse these two important relationships.
Think of adjacent angles as forming a straight line! Since a straight line measures 180°, any two adjacent angles must add up to exactly this amount.
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