In a word processing document or on a separate piece of paper, use the guide to construct a two column proof proving that lines l and m are parallel. angles 1 and 2 are supplementary by definition. submit the entire proof to your instructor. given: ∠1 and ∠2 are supplementary angles prove: l || m statement                                                   reason  1.∠1 and ∠2 are supplementary angles           1. given  2. m∠1 + m∠2 = 180°                                       2.  3. ∠1 and ∠3 are supplementary angles           3. exterior sides in opposite rays  4.                                                                       4.  5. m∠1 + m∠2 = m∠1 + m∠3                           5.6.                                                                       6.  7. l || m                                                             7.

See the proof.

Step-by-step explanation:

Statement                                                               Reason

1.∠1 and ∠2 are supplementary angles     ---           Given  

2. m∠1 + m∠2 = 180°     ---                  Linear pair, they are supplementary                                

3. m∠1  and m∠3 are supplementary angles --  m∠1 + m∠3= 180

                                                                              (Supplementary angles add upto 180 degrees)  

4.  m∠1 and m∠3                                           Exterior sides in opposite rays

5.   m∠1 + m∠2 = m∠1 + m∠3                         Transitive property  

6.    m∠2 = m∠3                                    Subtraction  property

7.   l || m   If two lines are cut by transversal the alternative interior

                               angles are the same, then the lines are paralle.

Thank you.

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls