Question

Find the angle of CD.Round to the nearest tenth.12.7 cmD45.509.06 cmmĆD = [ ?[?]O=

Answer 1

Solution:

The image below will be used to answer the question

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

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

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

$\begin{gathered} \begin{equation*} arc\text{ CD=2}\times\angle DOM \end{equation*} \\ arc\text{ CD=2}\times44.5^0 \\ arc\text{ CD=89}^0 \end{gathered}$

Hence,

The final answer is

$\Rightarrow89^0$