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Find the value of x. Write your answer as a decimal.ABto41°122°D

Find the value of x. Write your answer as a decimal.ABto41°122°D-example-1

1 Answer

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We have to use the two secants theorem, which states-


m\angle ABD=(1)/(2)(AD-AC)

Using the given information, we have


\begin{gathered} x=(1)/(2)(122-41) \\ x=(1)/(2)(81) \\ x=40.5 \end{gathered}

Hence, the value of x is 40.5°.

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