AlahniI526400 AlahniI526400

29-10-2022
Mathematics

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a circle is centered on point B. Points A,C and D lie on its circumfrence.

a circle is centered on point B Points AC and D lie on its circumfrence class=

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SabrinaI352214 SabrinaI352214

29-10-2022

To solve this problem, we have to use this theorem

[tex]m\angle ADC=\frac{1}{2}m\angle\text{ABC}[/tex]

Replacing the given angle, we have

[tex]\begin{gathered} 23=\frac{1}{2}m\angle ABC \\ m\angle ABC=46 \end{gathered}[/tex]

Hence, the angle ABC is equal to 46°.

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