In the figure, given below, AE // BD and AC // ED; find $∠$ b and $∠$ d.

b = d = 65^{\circ}

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b = d = 85^{\circ}

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b = d = 60^{\circ}

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b = d = 66^{\circ}

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Solution

The correct option is A $b = d = 65^{\circ}$
In the given figure, $∠ E D C = 65$ (Vertically Opposite angles)
$A C ∥ E D$
Thus, $∠ E D C = b = 65$ (Corresponding angles on parallel lines are equal)
Also, since $A E ∥ B D$
$b = d = 65$ (Alternate angles on a parallel lines are equal)
Thus, $b = d = 65^{\circ}$

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