Question

If angle 4=3x, and angle 5=6x, whhat is the value of x for live a to be parallel to line b?

Answer 1

20

3x+6x=180
9x=180
Divide by 9
X=20

Answer 2

A. 20

Explanation:

We have been given an image of two parallel lines and a transversal. We are asked to find the value of x.

We can see that angle 4 and angle 5 are co-interior angles. We know that co-interior angles of two parallel lines are supplementary.

`m\angle 4+m\angle 5=180^(\circ)`

`3x+6x=180^(\circ)`

`9x=180^(\circ)`

`(9x)/(9)=(180^(\circ))/(9)`

`x=20^(\circ)`

Therefore, the value of x is 20 and option A is the correct choice.