Parallel Lines and Transversals

Parallel Lines and Transversals

by HSE Academy

Angle Basics

​Angle Labels

​Vertical Angles

Adjacent Angles

• Adjacent Angles: 2 angles that share the same ray/line

• For example:

  • ​∠1 is adjacent to ∠2

Angles

​Parallel and Transversal

• ​Parallel: These are lines that never touch

• ​Transversal: A line intersecting 2 or more parallel lines

• ​Line M is parallel to Line N

• ​Line P is the transversal, creating those 8 angles

Corresponding Angles

• ​Corresponding angles are "matching" and they have the same measure

• ​For example:

  • ​​∠1 and ∠5

  • ​∠2 and ∠6

  • ​∠3 and ∠7

  • ​∠4 and ∠8

• ​Algebra equation skills can be used to find a missing angle

Find u.

All angles = 180

6u + 89 + 37 = 180

6u + 126 = 180

6u = 54

u = 9

Triangle Angles

Multiple Choice

The measure of ∠3 is  $$75\degree$$  . What is the measure of ∠1?

• $$15\degree$$  

• $$75\degree$$  

• $$105\degree$$  

• $$115\degree$$  

Multiple Choice

The measure of ∠7 is $$115\degree$$  . What is the measure of ∠4?

• $$25\degree$$  

• $$115\degree$$  

• $$245\degree$$  

• $$65\degree$$  

Multiple Choice

Which angle is equal to ∠2?

• ∠8

• ∠7

• ∠5

• ∠1

Multiple Choice

What is $$m\angle1$$ ?

• 59

• 108

• 180

• 121

Multiple Choice

The measure of an angle is $$47\degree$$ . What is the measure of its complementary angle?

• $$94\degree$$

• $$53\degree$$

• $$43\degree$$

• $$133\degree$$