In the figure, AB is parallel to CD, if ∠1 + ∠3 = 240°, then find the value of ∠6.

125°

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90°

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75°

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60°

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Solution

The correct option is D 60°
Given that ∠1 + ∠3 = 240°

Also, ∠1 = ∠3 [Vertically opposite angles]
Therefore, 2∠3 = 240°
∠3 = 120°
Since ∠3 and ∠6 are co-interior angles,
∠3 + ∠6 = 180°
∠6 = 180° - 120° = 60°

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