Question

Find the value of X in the given diagram where O is the centre of the circle.

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Answer 1

Here ,

BD =180° ... equation (1)

In ∆ABC , ∠C = 90° = BC .... equation (2)

CD = x

BD = BC + CD .... equation (3)

now substitute eq (1) , (2) in eq (3) , we get

$\sf 180 = 90 + CD \:$

$\sf CD \: = 180 - 90 = 90 \degree = x$

• X = 90°

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