मराठी

Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°? If not, why? - Mathematics

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प्रश्न

Is it possible to construct a quadrilateral ROAM in which RO = 4 cm, OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°? If not, why?

बेरीज

उत्तर

Given measures are OA = 5 cm, ∠O = 120°, ∠R = 105° and ∠A = 135°

Here, we see that, ∠O + ∠R + ∠A = 120° + 105° + 135° = 360°

i.e. the sum of three angles of a quadrilateral is 360°.

This is impossible, as the total sum of angles is 360° in a quadrilateral.

Hence, this quadrilateral cannot be constructed.

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 5: Understanding Quadrilaterals and Practical Geometry - Exercise [पृष्ठ १६३]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 197 | पृष्ठ १६३

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