Question

Lines l and m are parallel. If m1 = 126, how many degrees is m2?

Answer 1

We have: m∠2 =  180 − ( m∠1 ) ;

                   =  180 − 126  ;

                   =  54 .

The answer is:   " 54 °  " .

The  m∠2   in the figure shown is:   " 54 ° " .

Answer 2

The answer is:   " 54 °  " .

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→  The  m∠2  {"measure of angle 2"}  in the figure shown is:  " 54 ° " .

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Explanation:

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 In the figure shown in the "image attached" :

      ∠1  and ∠2  are "consecutive exterior angles" ;

and:  "consecutive exterior angles" are "supplementary" ;  

       → which means that their measurements add up to " 180° " .

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So:  Given:  " m∠1  = 126 " ;

      We are asked to find:  " m∠2 " .

                          →  {the measure of "angle 2" }.

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To solve:

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→   " m∠2"  =  180 − ( m∠1 ) ;

                   =  180 − ( 126 ) ;

                   =  54 .

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The answer is:  " 54 ° " .

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The  m∠2  {"measure of angle 2"}  in the figure shown is:  " 54 ° " .

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