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Lines And Angles — Maths STD 9 — Question

CBSE BoardEnglish MediumSTD 9MathsLines And Angles1 Mark
MCQ
Statement-1 (A): In Fig., line lis paralld to liter m.
Statement-2 (R): If a transversal intersects two lines in such a way that a pair of consecutive interior angles are supplementary, then the two lines are parallel.
Image
  • A
    Statement-1 and Statement-2 are true; Statement-2 is a correct explanation for Statement-2
  • B
    Statement-1 and Statement-2 is true; Statement-2 is not a correct explanation for Statement-1.
  • C
    Statement-1 is true, Statement-2 is false.
  • ✓
    Statement-1 is false, Statement-2 is true.
✓

Answer

Correct option: D.
Statement-1 is false, Statement-2 is true.
(d)
Statement-2 is true.
In Fig., we find that $82^{\circ}+97^{\circ}=179^{\circ} \neq 180^{\circ}$ i.e. pair of consecutive interior angles are not supplementary. Therefore, line l is not parallel to tine m.
Thus, statement-2 is true and statement-1 is not true. Hence, option (d) is correct.

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