Question

In below fig, ray OS stand on a line POQ. Ray OR and ray OT are angle bisectors of ∠POS and ∠SOQ respectively. If ∠POS = x, find ∠ROT.

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

90 degrees

Step-by-step explanation:

Since ray OS stands on the line POQ. Therefore,

∠POS+∠SOQ=180  ∘

⇒x+∠SOQ=180  

⇒∠SOQ=180  ∘ −x

⇒2∠SOT=180  ∘  −x    [∵OT is bisector of ∠SOQ]

⇒∠SOT=90  ∘ −  2 x

​Now, ∠ROT=∠ROS+∠SOT=  

2 x +90  ∘ −  2 x  = 90 degrees   [∵OR is bisector of ∠POS]

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