Two white lines on a basketball court are intended to be parallel

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Two white lines on a basketball court are intended to be parallel. A straight test line intersects them so that on the same side of the test line the interior angles measured are 110∘110^\circ and 67∘67^\circ. A student claims the white lines are parallel. Which statement best evaluates this claim? (a) The claim is incorrect because the measured angles are not supplementary. (b) The claim is correct because 110∘+67∘=180∘110^{\circ}+67^{\circ}=180^{\circ}, proving the lines are parallel. (c) The claim is correct because co-interior angles between parallel lines are equal. (d) The claim is incorrect because alternate exterior angles should have been measured instead.

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