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The side B C of a A B C is produced on ...

The side `B C` of a ` A B C` is produced on both sides. Show that the sum of the exterior angles so formed is greater than `/_A` by two right angles.

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Verified by Experts

To prove-`/_4+/_5=/_A+2*90^@`
By exterior angle theory
`/_4=/_1+/_3 and /_5=/_1+/_2`
`/_4+/_5=/_1+/_2+/_3+/_1`
`/_4+/_5=180^@+/_1`
`/_4+/_5=/_1+2*90^@`.
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