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Question:- ABCD is a rectangle. Find the value of ‘x’, ’y’ and ‘z’. Explain your answer with proper reasons.

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Answer 1

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Answer 2

Answer:

x=90°-59°= 31°(each angle of a rectangle is 90°)

y=59°(diagonals of rectangle bisect ech other equally)

in ∆AOC,

y=59°

angle CAO=59°(as the ∆is an isoselos ∆, as the diagnals bisect each other equally)

Therefore,z=180°=59°+59°+x

z=180°-118°

z=62°