Calculate the angles marked with small letters in the following diagram.

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Solution

In Rectangles Diagonals bisect each other
$⟹ O A = O B ⟹ a n g l e O A B = ∠ O B A = 21$
$∠ B = 90 ∠ A B O + ∠ O B C = 90 x = 90 - 21 x = 69$

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