Question

in the given transversal line if 2=80 7=80 find all the angles

Answer 1

Answer:

Step-by-step explanation:

It is given that ∠7=80  

o

 

from the figure we know that ∠7 and ∠8 form a linear pair of angles

so it can be written as

∠7+∠8=180  

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by substituting the values

80  

o

+∠8=180  

o

 

∠8=100  

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from the figure, we know that ∠7 and ∠5 are vertically opposite angles

so we get

∠7=∠5=80  

o

 

from the figure we know that ∠6 and ∠8 are vertically opposite angles

so we get

∠6=∠8=100  

o

 

It is given that l∥m and t is transversal

so the corresponding angles according to the figure is written as

∠1=∠5=80  

o

 

∠2=∠6=100  

o

 

∠3=∠7=80  

o

 

∠4=∠8=100  

o