SOLUTION: angle 2 equals angle 4 given : m<1=m<3 and m<2=m<4 prove : m<ABC=m<DEF I NEED THE REASONS!!!! statements 1 m<1=m<3 2 m<2=m<4 3 m<1+m<2=m<3+m<2 4 m<1+m<2=m<3

Algebra ->  Geometry-proofs -> SOLUTION: angle 2 equals angle 4 given : m<1=m<3 and m<2=m<4 prove : m<ABC=m<DEF I NEED THE REASONS!!!! statements 1 m<1=m<3 2 m<2=m<4 3 m<1+m<2=m<3+m<2 4 m<1+m<2=m<3      Log On


   



Question 662167: angle 2 equals angle 4


given : m<1=m<3 and m<2=m<4
prove : m I NEED THE REASONS!!!!

statements
1 m<1=m<3
2 m<2=m<4
3 m<1+m<2=m<3+m<2
4 m<1+m<2=m<3+m<4
5 m<1+m<2=m

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
You need a couple more statements.  Also, if you 
use < for an angle followed by a letter (not a number) you
must skip a space after < , otherwise the program will think 
it's an HTML tag and will delete what follows it. It's best 
to use the symbol ∠ for an angle which is gotten by 
typing this code:

%22%26%238736%3B%22.  
 

Given : m∠1 = m∠3 and m∠2 = m∠4
Prove : m∠ABC = m∠DEF




Statements                Reasons 

1 m∠1 = m∠3               Given

2 m∠2 = m∠4               Given

3 m∠1 + m∠2 = m∠3 + m∠2  Equals (in step 1) added to equals 
                          (in step 2) gives equals.

4 m∠1 + m∠2 = m∠3 + m∠4  equals (in step 2) may be substituted
                          for each other (in step 3)

5 m∠1 + m∠2 = m∠ABC      a whole is equal to the sum of its parts 

6 m∠3 + m∠4 = m∠DEF      a whole is equal to the sum of its parts

7 m∠ABC = m∠DEF          equals (in steps 5 and 6) may be substituted 
                          for each other (in step 4).  

Edwin