Question

Work out the value of x

Answer 1

4x+5x=180

9x/9=180/9

x=20

Answer 2

x = 20°

Explanation:

Consecutive interior angles theorem

The pairs of consecutive interior angles formed when two parallel lines are cut by a transversal are supplementary (sum to 180°).

⇒ 4x + 5x = 180°

⇒ 9x = 180°

⇒ x = 20°