Question
If a transversal intersects two parallel lines, and the difference between two interior angles on the same side of the transversal is 40°, then find the smallest angle among the interior angles.
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RBI Grade B 2026 Phase 1 Memory Based Paper
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Then, x + y = 180° ......[ Sum of interior angles is 180°] x + x -40° = 180° ...... [From equation (i)] 2x = 180° + 40° 2x = 220° X =220°/2 = 110° Now, y = x -40° y = 110°-40° = 70° Smallest angles is 70° Therefore, the angles are 110° and 70°, respectively.