Q2 of 100 Page 17

In Fig. 16.194, two congruent circles with centres O and O’ intersect at A and B. If ∠AO’B=50°, then find ∠APB.

∠AO'B = 50o

Since, both the triangle are congruent so their corresponding angles are equal.


∠AOB = AO'B = 50°


Now,


∠APB =


∠APB =


= 25°


More from this chapter

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29

In Fig. 16.189, ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If ∠DBC=55° and ∠BAC=45°, find ∠BCD.

 1

In Fig. 16.193, two circles intersect at A and B. The centre of the smaller circle is O and it lies on the circumference of the larger circle. If ∠APB=70°, find ∠ACB.

 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.