Find x.

$17^{\circ}$

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$27^{\circ}$

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$14^{\circ}$

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$24^{\circ}$

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Solution

The correct option is B
$27^{\circ}$

Construction: Extend CD to meet AB at E.

In $Δ$ CEB,

$∠$ CEA = x° + 60° ....... (Exterior angle property)

In $Δ$ DAE,

132° = 45° + x° + 60° ....... (Exterior angle property)

x° = 132° - 105°

x° = 27°

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