Question

Find X so that l // m state that converse used

Answer 1

Assuming that "l" and "m" are parallel, we solve this by corresponding angles.

The term corresponding angles is often used when two lines are cut by a third line, a transversal. The corresponding angles postulate states that if "l" and "m" are parallel, then the pairs of corresponding angles are congruent.

Therefore we can do the following equality:

`4x+7=6x-63`

Now, we solve to "x"

`\begin{gathered} 6x-4x=4+63 \\ 10x=70 \\ x=(70)/(2) \\ x=35 \end{gathered}`

In conclusion, the answer is:

`x=35`