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Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer. - Mathematics

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Question

Can all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.

Give Reasons

Solution

All the four angles of a quadrilateral cannot be obtuse angles.

Justification:

We know that,

Sum of all angles of a quadrilateral = 360°

So, at least one angle should be acute angle.

Hence, all the four angles of a quadrilateral cannot be obtuse angles.

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Chapter 8: Quadrilaterals - Exercise 8.2 [Page 76]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 8 Quadrilaterals
Exercise 8.2 | Q 7. | Page 76

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