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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