1 Answer

Bisola · Answer 1 · 2023-05-02T14:30:20+0000

Solution:

The image below will be used to answer the question

The measure of arc angle CD will be calculated using the formula below

$arc\text{ CD=2}*\angle DOM$

To figure out the value of angle DOM, we will ue the formula below

$\begin{gathered} \angle ODM+\angle DOM=90^0 \\ 45.5^0+\angle DOM=90^0 \\ \angle DOM=90-45.5 \\ \angle DOM=44.5^0 \end{gathered}$

Hence,

The are angle CD will be

$\begin{gathered} \begin{equation*} arc\text{ CD=2}*\angle DOM \end{equation*} \\ arc\text{ CD=2}*44.5^0 \\ arc\text{ CD=89}^0 \end{gathered}$

Hence,

The final answer is

$\Rightarrow89^0$

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