MCQ
Geometry: parallel lines and angles MCQ - Practice Questions with Answers
Solve 1 Geometry: parallel lines and angles questions for RAS/RPSC preparation.
Practice questions
Q1Lines PQ and RS are parallel, and rays PQ and RS point in the same direction. Points E, R, and M are collinear, with R between E and M. If angle QPE = 128° and angle PER = 148°, what is angle SRM?
Explanation
Since PQ and RS are parallel, consider the angles formed by the broken transversal with the parallel lines. The interior angle between PQ and PE is 180° - 128° = 52°. At E, the exterior turn is 180° - 148° = 32°. Therefore, the acute angle between RM and the parallel direction is 52° + 32° = 84°. The required angle SRM is its supplementary angle: 180° - 84° = 96°. Hence, 88°, 92°, and 98° are incorrect.
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