Question

Find the value of x that makes lines u and v parallel

Answer 1

Answer:

x = 4 for Lines U and V to be parallel

Skills needed: HS Geo, Angle Theorems, Equations

Step-by-step explanation:

1) We see that there are two angle measures given to us. There is an angle marked with the measure of $130$°, and the other is marked with ($33x-2$)°.

• First of all, these two angles are categorized alternate interior angles. They are on alternate sides of the transversal, and are within the two lines (not on the outer side of the lines). I will add an image for reference regarding this idea.
• If 2 lines are parallel, alternate interior angles are congruent. This means that: $33x-2=130$

2) Solving this equation is fairly straightforward.

• $33x-2+2=130+2$ (add 2 to both sides in order to get the $33x$ by itself.
• $33x\div33=132\div33$ (to get $x$ by itself)
• 132 divided by 33 is 4, and 33x divided by 33 is x, so $x=4$

--------------------------------------------------------------------------------------------------------------Hope you understood, have a great day.