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Question
In the following figure, which one of the following is not true?
Options
∠1 + ∠5 = 180°
∠2 + ∠5 = 180°
∠3 + ∠8 = 180°
∠2 + ∠3 = 180°
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Solution
∠2 + ∠3 = 180°
Explanation:
Since, PQ || RS, line l is a transversal.
∴ ∠2 + ∠5 = 180° ...(i) [Co-interior angles]
∠3 + ∠8 = 180° ...(ii) [Co-interior angles]
∠1 = ∠2 ...(iii) [Vertically opposite angles]
∴ ∠1 + ∠5 = 180° ...[By (i) and (iii)]
∠2 = ∠3 ...[Alternate interior angles]
But ∠2 + ∠3 ≠ 180°
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