How to Find Vertical Angles? (+FREE Worksheet!)

In this article, you will learn how to Find Vertical angles in a few simple steps.
Step by step guide to Finding Vertical angles
The intersecting lines form an \(X\)-shape, and the angles on the two opposite sides of this \(X\) are called vertical angles. The two vertical angles are always the same size and they have the same vertex. The bisector of two vertical angles makes a straight angle.
In the diagram at the right, lines and are straight:
- Angle\(1\)+ Angle\(3\)=\(180\)(because it is a straight angle)
- Angle\(2\)+ Angle\(3\)=\(180\)(because it is a straight angle)
Infer from the above two relations that angle \(1\) and \(2\) angle are equal; So, the vertical angles are equal.
In this diagram:
- Angle \(1\) and angle \(2\) are vertical angles.
- Angle \(3\) and angle \(4\) are vertical angles.
- Angle \(1\) and angle \(3\) are NOT vertical angles.

Finding Vertical Angles Example 1:
Find the number of degrees.
Solution: \((3x+50)^{\circ}\) and \((5x+10)^{\circ}\) are vertical angles.
\(3x+50=5x+10→3x+50-50=5x+10-50→3x=5x-40→3x-5x=-40→-2x=-40→x=20\)
\((3x+50)^{\circ}=(3(20)+50)=110^{\circ}\)
\((5x+10)^{\circ}=(5(20)+10=110^{\circ}\)

Finding Vertical Angles Example 2:
Find the number of degrees.
Solution: \((4x)^{\circ}\) and \((6x-22)^{\circ}\) are vertical angles.
\(4x=6x-22→4x-6x=-22→-2x=-22→x=11\)
\((4x)^{\circ}=(4(11))=44^{\circ}\)
\((6x-22)^{\circ}=(6(11)-22=44^{\circ}\)

Exercises for Finding Vertical Angles
Find the value of \(x\).
1)

2)


- \(x=96\)
- \(x=30\)
Related to This Article
More math articles
- SAT Math Level 2 Calculator Tips to Boost Your Score
- How to Distance Teach Math with a Drawing Pad?
- Coordinate Planes as Maps
- 5 Best Laptops for Math Students
- Line Plot
- OAR Math Practice Test Questions
- How long Is the SHSAT Test?
- 8th Grade Common Core Math Worksheets: FREE & Printable
- FREE SSAT Lower Level Math Practice Test
- 10 Most Common 5th Grade ACT Aspire Math Questions
What people say about "How to Find Vertical Angles? (+FREE Worksheet!)"?
No one replied yet.