Question

angle AOC and BOC form a linear pair if a minus b is equal to 20 find a and b

Answer 1

Hi ,

angle AOC= a

angle COB = b

according to the problem given,

a and b are linear pair .

a + b = 180° -----( 1 )

a - b = 20°--------( 2 )

add equations ( 1 ) and ( 2 ) , we get

2a = 200

a = 200 / 2

a = 100°

put a = 100° in equation ( 1 ) , we get

100° + b = 180

b = 180° - 100°

b = 80°

Therefore ,

a = 100°

b = 80°

I hope this helps you


:)

Answer 2

a+b=100(linear pair) - 1

a-b=20(given)-2

from 1 and 2

2a=200

i.e.a=100(by dividing 100÷2)

putting the value of a in first equation:

100+b=180

b=80(by subtracting 180-100)

a=100

b=80

I hope it helped you!!!