Explain alternate exterior angle,alternate interior angle,corresponding angle,
interior angle on the same side of transversal,

Dear Student,

Please find below the solution to the asked query:



Let we have  two parallel lines m  and n  , Line l is transversal line , So all angles are As  :

Vertical angles :

$\angle$ a  = $\angle$ c 

$\angle$ b  = $\angle$ d 

$\angle$ e  =  $\angle$ g

And

$\angle$ f  = $\angle$ h

2 )  Corresponding angles :

$\angle$ b  = $\angle$ e 

$\angle$ a  =  $\angle$ f

$\angle$ c  =  $\angle$ h

And

$\angle$ d  =  $\angle$ g

3 ) Alternate interior angles :

$\angle$ c =  $\angle$ f

And

$\angle$ d  =  $\angle$ e 

4 ) Alternate exterior angles :

$\angle$ a =  $\angle$ h

And

$\angle$ b  =  $\angle$ g


5 ) Consecutive interior angles ( Same side of transversal ) :

  $\angle$ c  +  $\angle$ e  =  180$°$
And
  $\angle$ d  +  $\angle$ f   =  180$°$

6 )  Supplementary angles :

As we know a line form 180$°$  angle  . So

For line m
  $\angle$ a  +  $\angle$ b   =  180$°$
And
  $\angle$ c  +  $\angle$ d  =  180$°$

For line n
  $\angle$ e  +  $\angle$ f   =  180$°$
And
  $\angle$ h  +  $\angle$ g  =  180$°$

For line l
$\angle$ b  +  $\angle$ c  =  180$°$

$\angle$ a  +  $\angle$ d  =  180$°$

$\angle$ e  +  $\angle$ h   =  180$°$
And
 $\angle$ f  +  $\angle$ g  =  180$°$

7 ) 360$°$ angles  :

We know a point have angle 360$°$ , So

$\angle$ a  + $\angle$ b  +  $\angle$ c  +  $\angle$ d =  360$°$

And

$\angle$ e  + $\angle$ f  +  $\angle$ g  +  $\angle$ h =  360$°$

Hope this information will clear your doubts about topic.

If you have any more doubts just ask here on the forum and our experts will try to help you out as soon as possible.

Regards