In the figure below, $${A D}$$ and $${B E}$$ are diameters of circle $${P}$$. What is the arc measure of minor arc $${C D}$$ in degrees? ![](http://admin.getprephub.com/media/editor/ci5_20230216203320048186.png)

Given that, $${A D}$$ and $${B E}$$ are diameters of circle $$P$$. The arc measure of minor arc $${A E}$$ in degrees $$=90^{\circ}$$ Also the arc measure of minor arc $${D E}$$ in degrees $$=(33 {k}-9)^{\circ}=90^{\circ}$$ According to the figure, $$33 {k}-9=90$$ Or, $$33k=90+9$$ Or, $$33k=99$$ Or, $${k}=\frac{99}{33}=3$$ Therefore, the arc measure of minor arc $${C D}$$ in degrees $$=20 {k}+4=(20 \times 3)+4=64^{\circ}$$ [since, $$\left.{k}=3\right]$$

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In the figure below, ${A D}$ and ${B E}$ are diameters of circle ${P}$ . What is the arc measure of minor arc ${C D}$ in degrees?

Select all that apply :

$64^{\circ}$

$74^{\circ}$

$26^{\circ}$

$144^{\circ}$

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