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I am sure that u can answer me. If u answer me i will mark u as the brainliest |
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Answer» YES I CAN !MARK ME AS BRAINLIEST !Step-by-step explanation:Interior angles on the same side of the transversal:The pair of interior angles on the same side of the transversal are CALLED consecutive interior angles or allied angles or co interior angles.If a transversal intersects two PARALLEL Lines then each pair of interior angles on the same side of the transversal is supplementary.If a transversal intersects two lines such that a pair of alternate interior angles is EQUAL then the two lines are parallel.SOLUTION :Given :PQ || ST, ∠PQR = 110° and ∠RST = 130°Construction:A line XY parallel to PQ and ST is drawn.∠PQR + ∠QRX = 180° (Angles on the same side of transversal.)110° + ∠QRX = 180°∠QRX = 180° - 110°∠QRX = 70°Also,∠RST + ∠SRY = 180° (Angles on the same side of transversal.)130° + ∠SRY = 180°∠SRY = 50°Now,∠QRX +∠SRY + ∠QRS = 180°70° + 50° + ∠QRS = 180°∠QRS = 60°Hence, ∠QRS = 60° |
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