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

• 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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