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Vertical AnglesRelated::Types of Angles |Interactive Vertical Angles Free Math Printable Worksheets:  Exploration activity | Worksheet
Vetical angles are the angles that are opposite each other when two lines intersect. (Technically, these two lines need to be on the same plane)
 In the picture on the left,  1 and 2 are vertical angles. Likewise, A and B are vertical. Vertical angles are always congruent (equal).
Below is another picture of vertical angles. The blue pair and red pair of angles are congruent pairs of vertical angles. 
Interactive Vertical Angles (Full Size Interactive Vertical Angles)
Click and the points below to see the rule for vertical angles in action. 
m X in the diagram on the left is 157° since its vertical angle is 157°.
What is the m B on the left?
Angle B Angle B is 130° 
Vertical Angle problems can also involve algebraic expressions. To find the value of x, set the two vertical angles equal then solve the equation:
x+5=2x-3  x=8
 What is the value of x? Answer x-2 =133 x = 135°
What is the value of x?
Answer
2x+5 = 105° 2x = 100 ½(2x = 100) x = 50
Use the vertical angles theorem to solve for xAnswer 4x +7 = 131° 4x = 124 ¼(4x = 124) x = 31
Find the value of x in the picture on the leftAnswer 
Use your knowledge of vertical angles to solve for xAnswer 
Solve for xAnswer 
Use vertical angles to find the value of x Answer 
Use vertical angles to find the value of x Answer 
 Use vertical angles to solve for x
Answer 
Related::Types of Angles |Interactive Vertical Angles Free Math Printable Worksheets: Exploration activity | Worksheet Top |
