
If true then enter 1, and false then enter 0, Can two obtuse angles be adjacent angles?
Answer
522.9k+ views
Hint: The given question needs to answer in 1 or 0 according to the statement, here the asked statement is about adjacent angle, and we know that sum of the adjacent angles are one hundred eighty, so here to answer the correct or incorrect of the statement we have to solve it according to the condition of adjacent angle.
Formulae Used: Sum of adjacent angles are one hundred eighty degrees.
Complete step-by-step solution:
Here in the given question it is asked that can the sum of two obtuse angle be adjacent angles, here we first know that obtuse angle is the angle which is greater than ninety and less than hundred eighty degree, so any two angles between this range cannot have a sum total of one hundred eighty, because:
Least obtuse angle is slightly greater than ninety , and adding both we get:
\[ \Rightarrow {90.001...^ \circ } + {90.001..^ \circ } > 180\]
Hence any two obtuse angles could not give a sum total of one hundred eight degrees.
Note: For the statement type question we must understand the terms given in the statement in order to solve the question. As here we know the range of the obtuse angle and hand in hand we also know the condition for the adjacent angle.
Formulae Used: Sum of adjacent angles are one hundred eighty degrees.
Complete step-by-step solution:
Here in the given question it is asked that can the sum of two obtuse angle be adjacent angles, here we first know that obtuse angle is the angle which is greater than ninety and less than hundred eighty degree, so any two angles between this range cannot have a sum total of one hundred eighty, because:
Least obtuse angle is slightly greater than ninety , and adding both we get:
\[ \Rightarrow {90.001...^ \circ } + {90.001..^ \circ } > 180\]
Hence any two obtuse angles could not give a sum total of one hundred eight degrees.
Note: For the statement type question we must understand the terms given in the statement in order to solve the question. As here we know the range of the obtuse angle and hand in hand we also know the condition for the adjacent angle.
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