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)
- \(x=96\)
- \(x=30\)
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Original price was: $109.99.$54.99Current price is: $54.99.
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