Saved Bookmarks
| 1. |
3) POQ is a line. Ray OR is perpendicular to line PQ.OS is another ray lying between raysOP and OR. Prove that. ROS = 2 (ZQOS-ZPOS) |
|
Answer» cc is b skywalk you have any other person is yes is there any chance 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. |
|