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Op andbetween3.POQ is a line OR IPQ. Os is another ray lying belveOR Proove that LROS = 3 (2005-2POS) |
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Answer» Given,OR is perpendicular to line PQTo prove,∠ROS = 1/2(∠QOS – ∠POS)A/q,∠POR = ∠ROQ = 90° (Perpendicular)∠QOS = ∠ROQ + ∠ROS = 90° + ∠ROS --- (i)∠POS = ∠POR - ∠ROS = 90° - ∠ROS --- (ii)Subtracting (ii) from (i)∠QOS - ∠POS = 90° + ∠ROS - (90° - ∠ROS)⇒ ∠QOS - ∠POS = 90° + ∠ROS - 90° + ∠ROS⇒ ∠QOS - ∠POS = 2∠ROS⇒ ∠ROS = 1/2(∠QOS – ∠POS)Hence, Proved. |
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