Parallel Lines and Algebra

Parallel lines and Angles

by Ina Tejares

Multiple Select

Name all the angles using three capital letters

• $$\angle ABC$$

• $$\angle B$$

• $$\angle CBA$$

• $$\angle CAB$$

• $$\angle ACB$$

Multiple Select

Name all the angles using three capital letters

• $$\angle GED$$

• $$\angle GFE$$

• $$\angle DFE$$

• $$\angle FED$$

• $$\angle GEF$$

Math Response

AOB is a straight line. Find x.

Type answer here

Correct Answer: 150

Deg^°

Rad

Math Response

AOB is a straight line. Find x.

Type answer here

Correct Answer: 105

Deg^°

Rad

Math Response

Find the value of p.

Type answer here

Correct Answer: 303

Deg^°

Rad

Math Response

Find the value of p.

Type answer here

Correct Answer: 47

Deg^°

Rad

​Transversals

​A line which crosses a set of parallel lines.

AB is a transversal

Multiple Choice

Identify the transversal in the given diagram.

• PQ

• RS

• TU

Multiple Choice

Identify the transversal in the given diagram.

• GH

• AB

• CD

​Corresponding angles

The pair of angles lying at a similar positions on two parallel lines with respect to a transversal.

​

They are equal in size.

Multiple Choice

Find the value of x and y.

• $$x=95\degree\ and\ y=85\degree$$  

• $$x=85\degree\ and\ y=95\degree$$  

• $$x=85\degree\ and\ y=90\degree$$  

Dropdown

Find the value of x = ​

Select answer

and y = ​

Select answer

.

Dropdown

Find the value of x = ​

Select answer

and y = ​

Select answer

.

​Alternate angles

The pair of angles which lies between two parallel lines and are opposite sides of a transversal.

​

​They are equal in size.

Dropdown

Find the value of x = ​

Select answer

and y = ​

Select answer

.

Drag and Drop

Find the value of x = ​

Placeholder

and y = ​

Placeholder

.

Drag these tiles and drop them in the correct blank above

95°

125°

85°

135°

​Interior angles

The pair of angles which lies between two parallel lines and are at the same sides of a transversal.

The sum of the interior angles is 180°.

(​supplementary)

Math Response

Find the value of x.

Type answer here

Correct Answer: 60

Deg^°

Rad

Math Response

Find the value of x.

Type answer here

Correct Answer: 130

Deg^°

Rad

​Determining parallel lines

• ​corresponding angles are equal

• alternate angles are equal

• ​the sum of interior angles is 180°