Question

if o is the centre of the circle find the value of x in each of the following diagram

Answer 1

hope it helps you very much

Answer 2

30 , 10 & 70 are value of x if o is the centre of the circle

Step-by-step explanation:

fig 1

∠CQA = ∠CBA

=> x = ∠CBA

=> x = ∠CBO

as O lies on AB

now in Δ CBO

OB = OC = Radius

=> ∠CBO = ∠BCO

120° + ∠CBO + ∠BCO = 180°

=>  2∠CBO = 60°

=> ∠CBO =30°

hence x =  30°

in 2nd

∠ACB = 90°  (as AB is Diameter)

=> ∠CAB = 180° - 90° - 80°

=> ∠CAB = 10°

∠CDB = ∠CAB

=> x = 10°

in 3rd

∠BAD = (1/2)∠BAO = (1/2)140 = 70°

∠BAD + ∠BCD = 180°

=> ∠BCD =  110°

∠BCD + x = 180°

=> x= 70°

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find the value of x in figure if O is centre of circle and angle oab ...

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