Question

in the figure A B and C are three points on the circle with Centre O such that angle BOC 30 degree and Angle AOB is 50 degree if D is a point on a circle other than arc ABC find angle abc
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Answer 1

Answer:

the other angle would be 80 degree

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Answer 2

Answer:

my answer is right so make me brain least answer

∠AOB = 60°

∠BOC= 30°

Here,∠AOC = ∠AOB + ∠BOC

∠AOC = 60°+30°

∠AOC = 90°

Since Arc ABC makes an angle of 90° at the centre of the circle.

∠ADC= 1/2∠AOC

[SINCE THE ANGLE SUBTENDED BY AN ARC AT THE CENTRE IS DOUBLE THE ANGLE SUBTENDED BY IT AT ANY POINT ON THE REMAINING PART OF THE CIRCLE]

∠ADC= 1/2(90°)

∠ADC= 45°

Hence, ∠ADC= 45°