Question

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

Answer 1

Answer:

x = 55

Step-by-step explanation:

$(x + 40) \degree = (150 - x) \degree \\ (vertical \: \angle s) \\ \\ x + 40 = 150 - x \\ \\ x + x = 150 - 40 \\ \\ 2x = 110 \\ \\ x = \frac{110}{2} \\ \\ x = 55$

Answer 2

Answer:

x = 55°

Step-by-step explanation:

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

$150 - x = x + 40$

$= > x + x = 150 - 40$

$= > 2x = 110$

$= > x = \frac{110}{2} = 55$