Question

Find the value of x, giving reasons for your answer:

Answer 1

x = 55°

Explanation:

When any 2 lines intersect each other at one point , the vertically opposite angles are always equal. Hence ,

`150 - x = x + 40`

`= > x + x = 150 - 40`

`= > 2x = 110`

`= > x = (110)/(2) = 55`

Answer 2

x = 55

Explanation:

`(x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = (110)/(2) \\ \\ x = 55`