In the given figure,POQ is a line.Ray OR is perpendicular to line PQ,.OS is another ray lying between OP and OR.Prove that angle ROS=1/2(angleQOS-anglePOS)
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◆Ekansh Nimbalkar◆
hello friend here is your required answer
hello friend here is your required answer
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Given Data.
POQ is a line.
Ray OR is perpendicular to line PQ.
OS is another ray lying between OP and OR.
So, Draw them such that ∠ROS = ∠ROT
Then, ∠SOP = ∠TOQ
Then, ∠SOT = ∠SOQ - ∠TOQ
Then, 2 ∠ROS = ∠QOS - ∠POS
Then, ∠ROS = 1/2(∠QOS - ∠POS)
Hence Proved!
POQ is a line.
Ray OR is perpendicular to line PQ.
OS is another ray lying between OP and OR.
So, Draw them such that ∠ROS = ∠ROT
Then, ∠SOP = ∠TOQ
Then, ∠SOT = ∠SOQ - ∠TOQ
Then, 2 ∠ROS = ∠QOS - ∠POS
Then, ∠ROS = 1/2(∠QOS - ∠POS)
Hence Proved!
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