In the given figure, find the value of y.

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Solution

The angles $∠ A O F = ∠ C O D ∠ A O B = ∠ E O D ∠ F O E = ∠ B O C$
The sum of angles at a point is $360$
$⟹ 6 y + 6 y + 8 y + 8 y + 4 y + 4 y = 360 18 y = 180 y = 10^{\circ}$

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