Question

Given rs || qp, what is the value of x?

Answer 1

`12x + 108 = 180 \\ \\ 12x = 180 - 108 \\ \\ 12x = 72 \\ \\ x = (72)/(12) \\ \\ x = 6`

it's is a co - inter angle they sum are 180

Answer 2

In the given figure,

Angle 108° + 12x = 180°

because they for pair of co- interior angles which are supplementary.

so,

• 
  `12x + 108\degree = 180\degree`

• 
  `12x = 180\degree - 108\degree`

• 
  `12x = 72\degree`

• 
  `x = (72\degree)/(12)`

• 
  `x = 6\degree`

hence , value of x = 6°