Question

Line m is intersected by line n. What is the value of x?
m
3x
X
n

Answer 1

x = 4.5

Explanation:

The attached figure shows the diagram of this problem. Here, line m is intersected by line l and m. We need to find the value of x.

In this case, 6x+42 =18x-12 as they form alternate interior angles

So,

6x+42 =18x-12

taking like terms togther

6x-18x=-42-12

-12x = -54

x = 4.5

So, the value of x is 4.5