Question

name the rays forming POQ
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Answer 1

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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Solution

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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=

Step-by-step explanation:

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Answer 2

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