Question

In the diagram, line m is parallel to line n. If m<1 =17x - 30 and m<2=7x + 18. What is the value of x?

Answer 1

To find the value of x when line m is parallel to line n, you can use the property that when two lines are parallel, their corresponding angles are equal. In this case, you have two angles, m<1 and m<2, which should be equal:

m<1 = m<2

So, you can set the two angle expressions equal to each other:

17x - 30 = 7x + 18

Now, solve for x:

17x - 7x = 18 + 30

10x = 48

x = 48 / 10

x = 4.8

So, the value of x is 4.8.