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Step-by-step explanation:
Theta1= angle AOB=80 degree
Theta2= angle BOC
Radius = r
(i) Length of arc AB= 2 length of arc BC
theta1/ 360 x 2 pi r= 2( theta2/ 360x 2 pi r)
theta1 = 2 theta2
angle BOC= angle AOC/2
= 80/2
angle BOC=40 degree
(ii) angle AOC= angle AOB + BOC
=80 +40
=120 degree
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