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Answer:
160 degrees
Step-by-step explanation:
BO,OC , AO are all radiuses of the circle hence,
BO = OC = AO
In triangle AOB AO = BO
hence, triangle AOB is an isosceles triangle
and angle OAB = angle OBA = 45 degrees
Sum of angles in a triangle = 180
45 + 45 + angle AOB = 180
angle AOB = 180 - 90 = 90
In triangle AOC AO = CO
hence, triangle AOC is an isosceles triangle
and angle OCA = angle OAC = 35 degrees
Sum of angles in a triangle = 180
35 + 35 + angle AOC = 180
angle AOC = 180 - 70 = 110
angle AOC + angle AOB = 90 + 110 = 200
angle BOC = 360 - 200 = 160 degrees
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