Question

Hello! I have a assignment due soon! If someone can help with transversals of parallel line: solve for x. That would be great! Thank you!

Answer 1

Here is the answer I hope it helped a little bit

Answer 2

Hello and Good Morning/Afternoon:

Let's take this problem step-by-step:

We know lines 'PQ' and 'RS'

==> are parallel to one another

==> therefore, corresponding angles formed by the two lines

intersection with the line 'ON' have the same measure

for example:

∠PTN = ∠RUT

∠NTQ = ∠TUS

∠PTU = ∠RUO

∠UTQ = ∠OUS

Since ∠PTN = ∠RUT

⇒ ∠RUT = 2x + 122

By Vertical Angle Theorem:

- opposite pairs of angles formed by two intersecting lines are equal in

measure

∠RUT = ∠OUS

`2x + 122 = 154 - 2x\\2x + 2x + 122 = 154 -2x + 2x\\4x + 122 = 154\\4x + 122-122 = 154-122\\4x = 32\\x = 8`

Answer: 8

Hope that helps!