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Tell whether the angles
are adjacent or vertical. Then find the value of \(xl).2

Tell whether the angles are adjacent or vertical. Then find the value of \(xl).2-example-1

2 Answers

2 votes

They are vertically opposite angles.

The value of X is 25

please see the attached picture for full solution

hope it helps

good luck on your assignment

Tell whether the angles are adjacent or vertical. Then find the value of \(xl).2-example-1
User Tomasz Gawel
by
4.9k points
6 votes

Answer:

Vertical angles

x=25

Explanation:

Adjacent angles are angles that are next to each other. Vertical angles are angles that are opposite each other.

In this problem, the angles are opposite each other. Therefore, they are vertical angles.

Since they are vertical angles, they are congruent, or equal. So, we can set them equal to each other and solve for x.

75=4x-25

To solve for x, we have to isolate x. First, move all the constants to the same side, by adding 25 to both sides.

75+25=4x-25+25

75+25=4x

100=4x

Now, 4 and x are being multiplied. To undo this, divide both sides by 4.

100/4=4x/4

100/4=x

25=x

The angles are vertical and x=25

User Qing Guo
by
5.1k points