Mathematics
The value of x in the following figure is :
80°
57°
87°
96°
Circles
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Answer
Arc AD subtends ∠ABD and ∠ACD. Therefore,
∠ABD = ∠ACD = 55° [From Figure]
Arc AB subtends ∠BCA and ∠BDA. Therefore,
∠BCA = ∠BDA = 32° [From Figure]
From figure,
∠BCD = ∠BCA + ∠ACD
∠BCD = 32° + 55°
∠BCD = 87°.
Hence, option 3 is the correct option.
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