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Question
In the given figure, if AB || CD, l is a transversal and ∠1 = 65°, then the sum of ∠3, ∠5 and ∠8 is
In the given figure, if AB || CD, l is a transversal and ∠1 = 65°, then the sum of ∠3, ∠5 and ∠8 is
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Solution
The correct option is C 245°
Given: AB || CD and ∠1 = 65°
∴ ∠5 = ∠1 = 65° (Corresponding angles)
And, ∠8 = ∠5 = 65° (Vertically opposite angles)
Also, ∠3 + ∠5 = 180° (Interior angles on the same side of transversal)
∴ ∠3 + ∠5 + ∠8 = 180° + 65°
= 245°
Hence, the correct answer is option (c).
Given: AB || CD and ∠1 = 65°
∴ ∠5 = ∠1 = 65° (Corresponding angles)
And, ∠8 = ∠5 = 65° (Vertically opposite angles)
Also, ∠3 + ∠5 = 180° (Interior angles on the same side of transversal)
∴ ∠3 + ∠5 + ∠8 = 180° + 65°
= 245°
Hence, the correct answer is option (c).
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