Using Alternate Interior Angles to Find the Missing Measure of an Angle

👉 Learn how to solve for an unknown variable using parallel lines and a transversal theorems. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated in both lines.

A transversal is a straight line crossing two parallel lines. There are various angle relationships formed when a transversal crosses two parallel lines. They include: alternate interior angles, alternate exterior angles, corresponding angles, consecutive interior angles, etc.

The theorems of the angle relationships include: alternate interior angles are equal, alternate exterior angles are equal, consecutive interior angles are supplementary (equal to 180 degrees), corresponding angles are equal.

Given expressions representing the angles formed by two parallel lines and a transversal, we can make use of the parallel line/ transversal angle relationships and usual angle properties to solve for the unknown variable in the expressions.

Organized Videos:
✅Parallel Lines and a Transversal
✅Parallel Lines and a Transversal Converse Theorems
✅Parallel Lines and a Transversal Theorems
✅Label Angles formed by Parallel Lines and a Transversal
✅Define Angles formed by Parallel Lines and a Transversal
✅Parallel Lines cut by a Transversal Solve for x
✅Find the value x that proves two lines are parallel
✅Parallel Lines and a Transversal | Proofs
✅Algebraic Proofs

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[jamescomer]

I like this do you have a tutorial on how to find angle measures with no protractor / virtual

[Hamzamakesfunvideos]

Hey I have this type of question, and I am trying to watch this video to understand how to solve this! Hope it works! 😄

[pessimisticcatto]

so that means alternate interior and exterior angles have always the same degree?

[ShailendraSingh-tkyh]

How do you find it when the transverse is a side of a triangle and two parallel lines cross the transverse and you’ve got no information of one of the information of one of the parallel lines interior angles and the angles of the triangles angles are 34, 45 and 58 respectively from the top of the triangle moving clockwise ?

[toveey]

What do you do if there’s only one arrow on each line?

[peterfernandez]

how do you find the value if you have two alternate interior angles but, their values are say, (18x), and (10 - 93x).

[txtzaha]

I’m jus here cuz I gotta math staar tomorrow.

[m.ayr.a]

so there all equal? even the same side interior and alternate exterior?

[dot]

Anyone else binging his channel to cram before a test

[Sho-jgip]

i know i’m very late but what’s the meaning of one parallel arrow?

[pastabeforewar]

Hes the only reason im passing honors geometry

[kiannatheresa]

Couldn’t you use the z-pattern to as well even though they are = to each other. They’re also alternate interior bc the z-pattern is alternating angles

[Trashboatheehee]

Richard needs to write down his notes bro

[junaishadjinaif]

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