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=(1)/(2)m\angle\text{ABC}`

Replacing the given angle, we have

`\begin{gathered} 23=(1)/(2)m\angle ABC \\ m\angle ABC=46 \end{gathered}`

Hence, the angle ABC is equal to 46°.