In Fig. 9.25, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

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TextAngles in Same Segment are EqualNCERT Textbook

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In Fig. 9.26, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠ BEC = 130° and ∠ ECD = 20°. Find ∠ BAC.

TextAngles in Same Segment are Equal

Two circles intersect at two points B and C. Through B, two line segments ABD and PBQ are drawn to intersect the circles at A, D and P, Q respectively (see Fig. 9.27). Prove that ∠ACP = ∠ QCD.

TextAngles in Same Segment are Equal