Question

In the given figure, find



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Answer 1

Step-by-step explanation:

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Answer 2

∠ABP=85(Given)

∠AOB=2(∠ABP)(Angleincribedbycentreofcircleisdoubleangleinscribedbyanychord)

∠AOB=2×85=170

In△AOBSinceOA=OB

(Oiscentreofcircle)

∠OAB=∠OBA

(Anglealongtheequalsideareequal)

Hence∠OAB+∠OBA+∠AOB=180∠OAB+∠OBA=180−170=10

Hence∠OAB=∠OBA=5∠OAB=a=5

Hence

option(D)isthecorrectanswer