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ICSE Class 9 Answered

In the given figure,O is the centre of the circle, angle AOB = 30 and angle OCB= 40 calculate angle AOC
Asked by pereiracalida | 17 Jan, 2018, 10:33: PM
answered-by-expert Expert Answer
begin mathsize 16px style Join space straight O space and space straight B.
In space increment AOB comma
AO equals BO space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Radii
angle OBA equals angle OAB equals 30 degree space space space space space space space space space space space space space left parenthesis 1 right parenthesis space Opposite space angles space of space equal space sides
Simlilarly space in space increment BOC comma
OB equals OC
angle OBC equals angle OCB equals 40 degree space space space space space space space space space space space space space left parenthesis 2 right parenthesis
angle ABO plus angle OBC equals angle ABC
angle ABC equals 30 degree plus 40 degree space space space space space space space space space space space space space space space space space space space From space left parenthesis 1 right parenthesis space and space left parenthesis 2 right parenthesis
angle ABC equals 70 degree
angle ABC equals 1 half angle AOC space space space space space space space space space space space space space space space space space space space
70 degree equals 1 half angle AOC
angle AOC equals 140 degree space space space space
end style
Answered by Sneha shidid | 18 Jan, 2018, 10:53: AM

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