Math, asked by pratibha23pr, 1 month ago

answer this step by step for class 9th of question 5

answer only 5 ok ​

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Answered by mitushij121
1

Answer:

∠ROS = 1/2(∠QOS−∠POS)

Step-by-step explanation:

POQ is a straight line. [Given]

∴ ∠POS + ∠ROS + ∠ROQ = 180°

But OR ⊥ PQ

∴ ∠ROQ = 90°

⇒ ∠POS + ∠ROS + 90° = 180°

⇒ ∠POS + ∠ROS = 90°

⇒ ∠ROS = 90° – ∠POS … (1)

Now, we have ∠ROS + ∠ROQ = ∠QOS

⇒ ∠ROS + 90° = ∠QOS

⇒ ∠ROS = ∠QOS – 90° ……(2)

Adding (1) and (2), we have

2 ∠ROS = (∠QOS – ∠POS)

∴ ∠ROS = 1/2(∠QOS−∠POS)

Answered by BangtanGirl11
3

Answer:

this is the answer to your question hope it will help you

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