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Prove that the interior angle of a regular pentagon is three times the exterior angle of a regular decagon |
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Answer» Heya MATE your ANSWER is----------------------------------------------------❤️✨❤️✨❤️✨One interior angle of a penagon =(n−2)×180where n=5where n=5=(5−2)× 5180180 =108180 =108Exterior angle of any POLYGON is 360.180 =108Exterior angle of any polygon is 360.One exterior angle of decagon = 180 =108Exterior angle of any polygon is 360.One exterior angle of decagon = 10/360 =36 =36108=3×36 =36108=3×36Therefore it's proved that one interior angle of pentagon is three times the exterior angle of decagon. |
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