The measures of the angles of a hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9. what is the measure of the smallest angle in the hexagon?

is the measure of the smallest angle in the hexagon.

Step-by-step explanation:

As, we know that the sum of all the angles is 720 degrees.

Given: The measures of the angles of the hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9.

Let  x  be the number used to simplify the size of each angle.

Sum of all the measure angles is 720 degrees

⇒

Combine like terms;

Divide both sides by 40 we get;

The measure of angles are:

Therefore; the measure of the smallest angle in the hexagon is,

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.