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Question

Continuing with the previous question, what angle do we have at the end of four arcs?

With B as the centre and any radius more than half of AB, draw another arc as shown. This is the third arc. With A as the centre and the same radius as above, cut the previously drawn arc in Y. This would be the fourth arc. Join PY.

What is the angle ∠ YPA?


A

30°

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B

60

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C

90

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D

180

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Solution

The correct option is A

30°


From B and A, we draw two arcs which intersect each other in Y. These arcs have the same radius so we have BY=AY,
since PB = PA, and PY = PY(common side)

By SSS congruency criterion, PBY PAY

So BPY = YPA = 12 BPA = 30


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