Question

Find the value of x. 14 6 / 110° 9 70

Answer 1

We are given a triangle crossed by two parallel lines. The lines are parallel since their corresponding angles are the same. Therefore, from Thale's theorem we have the following relationship:

`(14)/(6)=(x)/(9)`

Now we solve for "x" by multiplying by 9 on both sides of the equation:

`(14)/(6)*9=x`

Solving the operations we get:

`21=x`

Therefore, x = 21