Question

Jesse collected data on the colors of the coats his classmates wore one day in February he started a circle graph which equation will give the angle measure of the section for black

Answer 1

Answer:
`m\angle{b}=360^(\circ)-(m\angle{r}+m\angle{w})`

Explanation:

In the given circle graph, the measure of angle of Brown section :

`\angle{r}=210^(\circ)`

The measure of angle of White section :

`\angle{w}=90^(\circ)`

The angle for section black is
`\angle{b}`

We know that the measure of complete angle is
`360^(\circ)`

Then, we have the following equation:-

`m\angle{r}+m\angle{w}+m\angle{b}=360^(\circ)\\\\\Rightarrow\ m\angle{b}=360^(\circ)-(m\angle{r}+m\angle{w})`

Hence, the equation will give the angle measure of the section for black :-
`m\angle{b}=360^(\circ)-(m\angle{r}+m\angle{w})`