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Can two angles be supplementary if both of them are obtuse?

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Question

Can two angles be supplementary if both of them are obtuse?

Answer in Brief
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Solution

No. obtuse angle is always greater than 90°. It can be observed that two angles, even of 91°, will always add up to more than 180°. Therefore, two obtuse angles cannot be in a supplementary angle pair.

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Chapter 5: Lines and Angles - EXERCISE 5.1 [Page 78]

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NCERT Mathematics [English] Class 7
Chapter 5 Lines and Angles
EXERCISE 5.1 | Q 7. (ii) | Page 78

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