Vertical Angles

Definition: Vertical angles are a pair of congruent angles formed on the opposite sides of two intersecting lines. Vertical angle pairs always have the same measure.

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Example: Find the value of x.

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Solution:

Use the given information to find the value of x.

Step 1: Because these angles are formed opposite two intersecting lines, we know they are vertical angles. We also know vertical angles are congruent or equal.
Using the given values, write an equation that will allow us to solve for x.

Step 2: Since these angles are congruent, we can write the following equation and solve:

96 = 2x + 6
90 = 2x
x = 45

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