1.

किसी बहुभुज में , बाह्य तथा अन्तः कोण का अनुपात 1:4 है । बहुभुज में भुजाएं ज्ञात करे ?A. 5B. 10C. 3D. 8

Answer» Correct Answer - B
According to question, `("Exterior angle")/("Interior angle")=1/4=x/(4x)`
Exterior angle + =`180^(@)` Exterior angle = `360^(@)/("No of sides" )`
`therefore x+4x = 180^(@)`
`5x = 180^(@)`
`x=36^(@)`
no. of sides =`360^(@)/("exterior angle")`
No. of sides = `360^(@)/36^(@)=10` = 10


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