6. In the figure, O is the centre of the circle. What is the measure of ZACB?
(i) 45°
(ii) 60°
(iii) 70°
(iv) 90°
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Answer ⏬
(iii) 70°
Explaination ⏬
=> angle AOB + angle AOC + angle COB = 360°
[ Sum of all angles at a point is 360° ]
=> angle AOB +120°+100° = 360°
=> angle AOB + 220° = 360°
=> angle AOB => 360° - 220°
=> angle AOB = 140°
Angle at the cente is double angle at the circumference of circle .
angle AOB = 2 angle ACB
=> 140° = 2 angle ACB
=> angle ACB = 140°÷2
=> angle ACB = 70°
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