Question

Ii) Find the value of if the pair of parallel lines are cutting by a transversal and give reason for your answer

Please help me :(

Answer 1

50

Explanation:

When two parallel lines are cut by a transversal, we see that same side exterior angles sum to 180 degrees.

It's like the blue angle and the green angle add together to sum 180. So you can construct an equation knowing this to find what x is:

`2x+30+x=180\\3x+30=180\\3x=180-30\\3x=150\\x=(150)/(3)\\x=50`

(The reason for the answer is the first line I wrote)