Can two angles be supplementary if both angles are obtuse angles
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Answer:
no it is not possible
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Meaning of supplementary - Two angles that add up to 180°
Meaning of obtuse angles - An angle that is greater than 90° and lesser than 180° is called an obtuse angles.
Take two obtuse angles
100° and 150°
100° + 150° = 250°
250° is greater than 180°, so 100° and 150° are not supplementary.
Take the smallest obtuse angles.
91° and 91°
91° + 91° = 182°
182° is greater than 180°, so even the smallest obtuse angles cannot be equal to 180°
So here we can conclude that two obtuse angles put together can never be supplementary.
Hope this helps you.
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