Coz (40-x)° =sin30°

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Solution

As we know,
sin(90°-α) = cosα

∴sin30° = sin(90°-60°)
=cos60°
∵cos(40°-x) = sin30°
⇒cos(40°-x) = cos60°
⇒40°-x = 60°
⇒x = -20°

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