Find the measure of
a. 71 degrees
b. 109 degrees
c. 180 degrees
d. 82 degrees

71°

Step-by-step explanation:

Given;

<A=27°

<B=82°

<T=?

We add all angles and subtract it from 180 since an interior angle adds up to 180

<A+<B+<T=180

27°+82°+<T=180

109°+<T=180

<T=180-109

<T=71°

Therefore angle T <T is equal to 71°degrees

241 clients

Step-by-step explanation:

His problem can be solved using the principle of proportionality or rule three.

We can take advantage of the proportion between respondents who tell us the number of respondents and how many expect to go on vacation and the total number of workers, therefore:  

                         Respondents /// Whole company

Vacations                  21                          x

Total                          45                        516

then x equals:

x = (516 * 21) / (45)

x = 240.8

x = 241 clients

This means that approximately 241 clients expect to go on vacation throughout the company.