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What is the value of x in the figure below?

What is the value of x in the figure below?-example-1
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User Gulnara
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1 Answer

3 votes

Answer:

30

Explanation:

Vertical angle pairs can be used to find unknown values.

Vertical Angles

Some angles have special relationships. For example, vertical angles are angles that are formed by the same intersecting lines. The two angles shown in the figure are vertical angles because they are also formed by 2 intersecting lines. All vertical angles are congruent. This means that they will have equal measures. Using this information, we can create an equation to find x.

Solving for x

We can use the relationship between vertical angles in order to find the value of x. Since we know that these 2 angles will be equal, we can set them equal to each other.

  • 2x = 60

Now, we can solve this equation in order to find x.

  • x = 30

This means that the value of x must be 30.

answered
User Eric Vicenti
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