name the rays forming POQ
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Class 6>>Maths>>Understanding Elementary Shapes>>Types of Angles>>In the figure, POQ is a lin...
Question
In the figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that
∠ROS=21(∠QOS−∠POS).
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Given,
OR is perpendicular to line PQ
To prove: ∠ROS=21(∠QOS–∠POS)
According to the question,
∠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=
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Answer:
it can be PO if it has arrow at the one end and can be OQ if the arrow is at its one end
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