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

How to find vertical angles, step by step: the rule in plain language, solved examples worked one line at a time, and practice questions so you can try it yourself before moving on.

• Angle(1)+ Angle(3)=(180)(because it is a straight angle)
• Angle(2)+ Angle(3)=(180)(because it is a straight angle)

• 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:

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)

1. (x=96)
2. (x=30)

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