141k views
2 votes
Lines l and m are parallel. If m1 = 126, how many degrees is m2?

Lines l and m are parallel. If m1 = 126, how many degrees is m2?-example-1
User TheTXI
by
4.8k points

2 Answers

3 votes

We have: m∠2 = 180 − ( m∠1 ) ;

= 180 − 126 ;

= 54 .

The answer is: " 54 ° " .

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





User Tyana
by
5.3k points
7 votes

The answer is: " 54 ° " .

____________________________

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

____________________________

Step-by-step explanation:

____________________________

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° " .

____________________________

So: Given: " m∠1 = 126 " ;

We are asked to find: " m∠2 " .

{the measure of "angle 2" }.

____________________________

To solve:

____________________________

→ " m∠2" = 180 − ( m∠1 ) ;

= 180 − ( 126 ) ;

= 54 .

____________________________

The answer is: " 54 ° " .

____________________________

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

____________________________

User Asker
by
4.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.