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A B C D IS A PARALLELOGRAM AND O is a...

`A B C D` IS A PARALLELOGRAM AND `O` is any point in its interior. Prove that: `a r\ ( A O B)+\ a r\ ( C O D)=\ a r\ ( B O C)+\ a r( A O D)` `a r\ ( A O B)+a r\ (C O D)=1/2\ a r(^(gm)A B C D)` Given: A parallelogram `A B C D\ a n d\ O` is a point in its interior. To Prove: `a r\ (\ A O B)+\ a r( C O D)=a r\ ( B O C)+a r( A O D)`

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