From the given figure, find $∠ A D B$ .

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Solution

In cyclic quadrilateral opposite angles are equal
$⟹ ∠ A = ∠ C = 100^{\circ}$
In $Δ A B D$
Sum of all angles is $180^{\circ}$
$∠ A + ∠ B + ∠ D = 180 ∠ D = 180 - 100 - 70 ∠ D = 10^{\circ}$

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