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A B C is a triangle in which /A=72^0, th...

`A B C` is a triangle in which `/_A=72^0,` the internal bisectors of angles `B\ a n d\ C` meet in `Odot` Find the magnitude of `/_B O C`

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Solution:
`/_A = 72^@`
By angle sum property
`/_A+/_B +/_C=180`
`/_B+/_C=180−72=108`
`/_OBC+/_OCB=54`
The Angular bisectors Meet at 'O'. So By Angle sum property,
`/_OBC+/_OCB +/_BOC = 180`
`54+/_BOC=180−54`
`/_BOC=126`
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