Question

In figure angle AOC and <BOC form a linear pair. If a - 2b = 60 degrees Find a & b. ​

Answer 1

Answer:

Step-by-step explanation:

∠AOC and ∠BOC form a linear pair.

∠AOC=a and ∠BOC=b

∴  a+b=180  

o

          [ Linear pair ]  ------ ( 1 )

⇒  a−2b=30  

o

                              ----- ( 2 )  

Subtracting equation ( 2 ) from ( 1 ) we get,

⇒  3b=150  

o

 

⇒  b=50  

o

 

Substituting value of b in ( 1 ) we get,

⇒  a+50  

o

=180  

o

 

∴  a=130  

o

 

Answer 2

Answer: a = 140°

              b = 40°

Step-by-step explanation: If a pair of angles form  linear pair, then there sum is 180°.

∴ a + b = 180° -> 1

now,

a - 2b = 60°

taking 2b on the other side

a = 2b + 60°

Substituting value of a in 1

2b + 60 + b = 180°

3b + 60 = 180°

taking 60 on the other side

3b = 180 - 60

3b = 120°

taking 3 on the other side

b = 120/3

b = 40°

As a = 2b + 60

a = 40*2 + 60

a = 80 + 60

a = 140°