Help with geometrical proofs

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LiHJ
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Dear Mentors,
Please guide me in solving the circled questions. Thank you
 

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There's not much point in giving "guidance" if we don't know what you know about parallelograms, diagonals, etc. Show us that by giving your own attempt at this.
 
Dear HallsofIvy,

I have already posted my working to that question. Thank you
 
posted under Homework and course work problem, Pre-Calculus topic. Thank you