How to Solve Parallel Lines and Transversals Problems? (+FREE Worksheet!)
Parallel Lines and Transversals – Example 2:
Solution:
The two angles \(75^\circ\) and \(11x-2\) are equal. \(11x-2=75\)
Now, solve for \(x: 11x-2+2=75+2→ 11x=77→x=\frac{77}{11}→x=7\)
Parallel Lines and Transversals – Example 3:
In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)?
Solution:
The two angles \(7x-35\) and \(3x+45\) are equivalents.
That is: \(7x-35=3x+45\)
Now, solve for \(x: 7x-35+35=3x+45+35 →\)
\(7x=3x+80→7x-3x=3x+80-3x→4x=80→x=\frac{80}{4}→x=20\)
Parallel Lines and Transversals – Example 4:
In the following diagram, two parallel lines are cut by a transversal. What is the value of \(x\)?
Solution:
The two angles \(3x-27\) and \(-x+33\) are equivalents.
That is: \(3x-27=-x+33\)
Now, solve for \(x: 3x-27+27=-x+33+27 →\)
\(3x=-x+60→3x+x=-x+60+x→4x=60→x=\frac{60}{4}→x=15\)
Exercises for Parallel Lines and Transversals
Find missing angles with Parallel Lines and Transversals.
1.Find the measure of the angle indicated.
2. Solve for \(x\).
3. Find the measure of the angle indicated.
4. Solve for \(x\).
1.\(\color{blue}{110^\circ}\)
2.\(\color{blue}{x=8}\)
3. \(\color{blue}{84^\circ}\)
4.\(\color{blue}{x=5}\)
Related to This Article
More math articles
- Free Grade 5 English Worksheets for New York Students
- 7th Grade OST Math FREE Sample Practice Questions
- Full-Length ATI TEAS 7 Math Practice Test
- HSPT Math-Test Day Tips
- 10 Most Common ATI TEAS 7 Math Questions
- Wisconsin Algebra 1 Free Worksheets: Free Printable PDFs Covering Every Algebra 1 Skill
- Free Grade 3 English Worksheets for Florida Students
- 10 Most Common 3rd Grade MEAP Math Questions
- Free Grade 5 English Worksheets for New Jersey Students
- 6th Grade MAP Math Worksheets: FREE & Printable
What people say about "How to Solve Parallel Lines and Transversals Problems? (+FREE Worksheet!) - Effortless Math"?
No one replied yet.