Question

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

Answer 1

To solve this problem, we have to use this theorem

$m\angle ADC=\frac{1}{2}m\angle\text{ABC}$

Replacing the given angle, we have

$\begin{gathered} 23=\frac{1}{2}m\angle ABC \\ m\angle ABC=46 \end{gathered}$

Hence, the angle ABC is equal to 46°.