Transversals of parallel lines: solve for x

Question

Find the measure of <LNH. (5x-21)=(3x+17)

Answer 1

Hi Kim R, is there a picture or link to such that goes with your question? In the equation you presented to solve for x is just a matter getting all the x’s on one side and the constants on the other side. We can’t see or guess at what you mean by <LNH.

Some of the Properties of Parallel Lines crossed by a single Tranversal line are

Properties of Parallel Lines Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal.

If <LNH is one of the angles described above then you just need to do the Algebra to solve for x as follows:

5x - 21 = 3x + 17

Subtract 3x both sides and add 21 to both sides to yield

5x - 3x = 17 + 21

As you can see per my comment above, I’ve moved the variables to one side of the equation and the constants to the other. We still can’t see <LNH. Can you complete the work and apply it to whatever diagram or picture you have of the Transversal and your parallel lines?

More information would be useful and sometimes it’s difficult to upload the diagrams/pictures and the links don’t always work but I hope this helps you continue.

Answer 2

Where is your diagram?