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  1. Let O be the centre of a circle. A, B, C and D are four points on the circumference of the circle in the given order, such that ∠AOC = 130°. Then the measure of ∠ABC and ∠ADC are respectively.
    1. 65°, 115°
    2. 65°, 65°
    3. 115°, 65°
    4. 115°, 115°
Correct Option: B

According to question , we draw a figure of a circle with centre O ,

As we know that Angle subtended by an arc at the centre is twice to that subtended at the circumference.
∴ ∠ABC = ∠ADC = 130° ÷ 2 = 65°



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