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16. Circles
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Q5 of 100 Page 17

In Fig. 16.196, if O is the circumcentre of Δ ABC, then find the value of ∠OBC + ∠BAC.

∠OBC + ∠CBA = ∠OBA

∠OBC + 30° = 50°


∠OBC = 20°


∠OBC + ∠BAC = ∠OBC + ∠CAB


= 20° + 110°


= 130°


More from this chapter

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3

In Fig. 16.195, ABCD is a cyclic quadrilateral in which ∠BAD=75°, ∠ABD=58° and ∠ADC=77°, AC and BD intersect at P. Then, find ∠DPC.

4

In Fig. 16.196, if ∠AOB = 80° and ∠ABC=30°, then find ∠CAO.

6

In Fig. 16.197, AOC is a diameter if the circle and arc AXB=arc BYC. Find ∠BOC.

7

In Fig. 16.198, A is the centre of the circle. ABCD is a parallelogram and CDE is a straight line. Find ∠BCD:∠ABE

Questions · 100
16. Circles
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