Answer: [tex]m\angle{b}=360^{\circ}-(m\angle{r}+m\angle{w})[/tex]
Step-by-step explanation:
In the given circle graph, the measure of angle of Brown section :
[tex]\angle{r}=210^{\circ}[/tex]
The measure of angle of White section :
[tex]\angle{w}=90^{\circ}[/tex]
The angle for section black is [tex]\angle{b}[/tex]
We know that the measure of complete angle is [tex]360^{\circ}[/tex]
Then, we have the following equation:-
[tex]m\angle{r}+m\angle{w}+m\angle{b}=360^{\circ}\\\\\Rightarrow\ m\angle{b}=360^{\circ}-(m\angle{r}+m\angle{w})[/tex]
Hence, the equation will give the angle measure of the section for black :-[tex]m\angle{b}=360^{\circ}-(m\angle{r}+m\angle{w})[/tex]
