Points A, B, and C form a triangle. Complete the statements to prove that the sum of the interior angles of ABC is 180 degrees

Step-by-step explanation:

            Statements                                                       Reasons

1). Points A, B and C form the triangle           1). Given

2). Let DE be a line passing through             2). Definition of parallel lines

    B and parallel to AC

3). ∠3 ≅ ∠5 and ∠1 ≅ ∠4                                3). Theorem of Alternate

                                                                               interior angles  

4). m∠1 = m∠4 and m∠3 = m∠5                      4). Definition of alternate angles

5). m∠4 + m∠2+ m∠5 = 180°                           5). Angle addition and definition

                                                                             of straight lines

6). m∠1 + m∠2+ m∠3 = 180°                            6). Substitution

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.