Match the reasons with the statements in the proof if the last line of the proof is:
6. ∠3 and ∠5 are supplementary because of the definition of supplementary
given: s | | t
prove: ∠3, ∠5 are supplementary
i asked this question earlier but couldn't figure out how to edit it so here i am

Given : s||t

Exterior sides in opposite rays : ∠5 and ∠7 are supplementary

Definition of supplementary angles : m∠5 + m∠7 = 180°

If lines are ||, corresponding angles are equal : m∠1 = m∠5

Substitution : m∠1 + m∠7 = 180°

Given : S ║ T,

We have to prove that : ∠3 and ∠5 are supplementary

Proof :

Thus, the column proof is as follow,

        Statement                                       Reason

1.   S ║ T                                               1. Given

2. ∠1 and ∠3 are supplementary       2. exterior sides in opposite ray

3. m∠1 + m∠3 = 180°                           3. Definition of supplementary

4. m∠1 = m∠5                                      4. if lines are ║, cor. angles are equal

5. m∠5 + m∠3 = 180°                          5. Substitution

Hence, ∠3 and ∠5 are supplementary.

Note : Since, if the exterior sides are opposite rays, then they always form a straight line.

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.