Question

in the given figure o is the center of the circle. if angle AOB=60° find the measure of angle AOC and angle ABC​

Answer 1

angle AOB+angleAOC=180(sum of all angle in a stright line is 180)

angleAOC=180–60

angle AOC=120

in this question angle BAC= 90 digree because the angle in circamference of half circle should be 90 digree.

sides AO,OB&OC are equal because these are the radious of circle.

angle OAB&OBA are equal(OB=OA),now in tringle AOB

let angle ABO=x=angle ABC,

angle ABO=angle BAO

x+x+angleAOB=180 (sum all angle in tringle is 180)

2x=180–60

x=60 digree=angle ABC





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