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

Top left

The total degrees in a circle is 360. Brown takes up 210 degrees, and the white takes up 90, so that leaves us with 360-(210+90), which is basically the top left one

Answer 2

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

Step-by-step 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 :-$m\angle{b}=360^{\circ}-(m\angle{r}+m\angle{w})$