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ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°. - Mathematics

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प्रश्न

ABCD is a cyclic quadrilateral such that ∠A = 90°, ∠B = 70°, ∠C = 95° and ∠D = 105°.

विकल्प

  • True

  • False

MCQ
सत्य या असत्य

उत्तर

This statement is False.

Explanation:

In a cyclic quadrilateral, the sum of opposite angles is 180°.

Now, ∠A + ∠C = 90° + 95° = 185° ≠ 180°

And ∠B + ∠D = 70° + 105° = 175° ≠ 180°

Here, we see that, the sum of opposite angles is not equal to 180°.

 So, it is not a cyclic quadrilateral.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Circles - Exercise 10.2 [पृष्ठ १०२]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 9
अध्याय 10 Circles
Exercise 10.2 | Q 7. | पृष्ठ १०२

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