Question

The results of a survey on the types of music students prefer are shown. P is the centerof the circle.What is mED?What Type of MusicDo You Prefer?45°RockАECountry250°45°90°108°РBOther43°72Classical110°СDJazz

Answer 1

In order to solve this exercise you need to remember that there are 360 degrees in a circle.

In this case, you have the circle shown in the picture with center P.

Then, in order to find the measure of ED, you can set up the following equation using the information given in the exercise:

`mED+45\degree+90\degree+43\degree+72\degree=360\degree`

Now you can solve for the measure of ED in order to find it:

`\begin{gathered} mED+250\degree=360\degree \\ mED=360\degree-250\degree \\ mED=110\degree \end{gathered}`

The answer is: Last option.