Question

if angle a and b form a linear pair and a-b=60 find the values of a and b

Answer 1

a+b= 180 ° -------------- ( 1)

a-b =60 °______________( 2 )

adding eq 1 and 2

2a = 240

a = 120

and a + b = 180 ( ∴ a =120 )
b = 180 - 120 = 60 °

Answer 2

angle A - angle B = 60 ... (1)

angle A + angleB = 180 ( linear pair ) ... (2)

adding 1 and 2 ..

angle A - angle B + angle A + angle B = 180 + 60

2angle A = 240

angle A = 240/2 = 120 degree Ans.

Angle A - Angle B = 60

120 - AngleB = 60

- angle B = 60 -120

- angle B = - 60

angle B = 60 degree ans.