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Hi need help for question related to circle as drawing below thanks! answer given is 30

Mathematics
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|dw:1359828448012:dw|
|dw:1359828461353:dw| sorry forget label RS=2PQ. Find X
a triangle made like this i mean in semicircle every triangle made is a right angled triangle. this means the given triangles are right angled triangle

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Other answers:

considering one with 20 degrees we get
|dw:1359828672943:dw|
clear up to this point???
this is not that x you mentioned in your queston
yes so wat's next??
|dw:1359828871406:dw|
|dw:1359829032068:dw|
can you find PQ ???
20??
how??
= = i not sure >< because the angle at RS is 40?? so 40/2??
no no the angles here are 20-70-90 respectively
i m talking about the lenght of PQ
i duno how to find >< should be 20 because the angle at S is 20
|dw:1359830647922:dw|
|dw:1359830742128:dw| since RS is double of PQ, the angle opposite to RS is double the angle opposite to PQ thus theta=2*20=40
|dw:1359830828420:dw|
now look at triangle PQS |dw:1359830874348:dw|
so the figure is improved |dw:1359830962646:dw| compare with ur answer
I understand now!!thanks!! ^^

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