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Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not? - Mathematics

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Question

Can the angles 110º, 80º, 70º and 95º be the angles of a quadrilateral? Why or why not?

Sum

Solution

We know that,

Sum of all angles of a quadrilateral = 360°

But here,

110° + 80° + 70° + 95° = 355° ≠ 360°

Hence, 110°, 80°, 70° and 95° cannot be the angles of a quadrilateral.

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Chapter 8: Quadrilaterals - Exercise 8.2 [Page 75]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 8 Quadrilaterals
Exercise 8.2 | Q 3. | Page 75

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