InterviewSolution
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InterviewSolution
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In the given figure, line AB || line CD and line PQ is transversal.Measure of one of the angles is given.Hence find the measures of the following angles.i. ∠ART ii. ∠CTQ iii. ∠DTQiv. ∠PRB |
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Answer» i. ∠BRT = 105° ….(i) ∠ART + ∠BRT = 180° [Angles in a linear pair] ∴ ∠ART + 105° = 180° ∴ ∠ART = 180° – 105° ∴ ∠ART = 75° …(ii) ii. line AB || line CD and line PQ is their transversal. ∴ ∠CTQ = ∠ART [Corresponding angles] ∴ ∠CTQ = 75° [From (ii)] iii. line AB || line CD and line PQ is their transversal. ∴ ∠DTQ = ∠BRT [Corresponding angles] ∴ ∠DTQ = 105° [From (i)] iv. ∠PRB = ∠ART [Vertically opposite angles] ∴ ∠PRB = 75° [From (ii)] |
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