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Find the measure of an are exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles? - Mathematics

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प्रश्न

Find the measure of an are exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?

योग

उत्तर

We know that, number of sides in pentagon is 5 and in decagon is 10.

Now, exterior angle of a regular pentagon = `360^circ/5` = 72°

Exterior angle of a regular decagon = `360^circ/10` = 36°

∴ Required ratio = `72/36` = 2 : 1

So, the ratio between these two angles is 2 : 1.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Understanding Quadrilaterals and Practical Geometry - Exercise [पृष्ठ १६०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
अध्याय 5 Understanding Quadrilaterals and Practical Geometry
Exercise | Q 168 | पृष्ठ १६०

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