in the given figure O, is the centre of the Circle. If angle AOC = 90 .Find the angle ABC
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Answer:
angle AOC= 360-90
=270
therefore angle ABC =1/2×270
=135
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AOC = 150° (Given) By degree measure theorem: ∠ABC = (reflex∠AOC)/2 …(1) We know, ∠AOC + reflex(∠AOC) = 360° [Complex angle] 150° + reflex∠AOC = 360° or reflex ∠AOC = 360° −150° = 210° From (1) => ∠ABC = 210°/2 = 105°Read more on Sarthaks.com - https://www.sarthaks.com/612473/in-figure-it-is-given-that-o-is-the-centre-of-the-circle-and-aoc-150-find-abc
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