In Attachments.
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Find $\displaystyle m\angle B\text{ and }m\angle C$.
What theorem was used to find these angles?Code:. . . - - - - * * * . . . * * . . . A o - - - - - - - o B . . . * \ / * . . . \ / . . . * \ / * . . . * * * . . . * / \ * . . . / \ . . . * / \ * . . . D o - - - - - - - o C . . . * * . . . * * *
The best we can say is: .$\displaystyle \begin {array}{ccc}m\angle B &=& \frac{1}{2}\text{arc}(AD) \\ \\[-4mm] m\angle C &=& \frac{1}{2}\text{arc}(AD) \end{array} \quad\Rightarrow\quad \angle B \:=\:\angle C$
Theorem: An inscribed angle is measured by one-half its intercepted arc.