Question

if angle 5 equals to 65 degree find all the angle​

Answer 1

Given,

∠1=65  

o

 

From the figure,

∠1=∠3  & ∠2=∠4     [∵ Vertically opposite angles are equal ]

=> ∠3=65  

o

 

and ∠3 and ∠4 , ∠1 and ∠4 [∵ linear pair of angles]

=> ∠3+∠4  

o

=180  

o

 

    65  

o

+∠4  

o

=180  

o

 

               ∠4  

o

=115  

o

 

            =>∠2  

o

=115  

o

   [∵ Vertically opposite angles ]

∴∠1=65  

o

,∠2  

o

=115  

o

,∠3=65  

o

 and ∠4  

o

=115  

o