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Answer :

Lfontgabelgo

Answer:

X = 18

Step-by-step explanation:

Since angle 1 & 3 are vertical angles, they are equal in measure.

So:

4x - 14 = 58

Solve for x:

4x (-14 + 14) = 58 + 14

4x = 72

4x/4 = 72/4

X = 18

Hope this helps! Have a great day!

Abidemiokingo

The value of x if the angles are vertically opposite is 18

How to determine vertical angles

The angles <1 and <3 are vertically opposite angles. Given the following parameters;

<1 = 4x - 14

<3  = 58

Equating both angles will give:

4x - 14 = 58

Solve the expression for the value of "x"

4x (-14 + 14) = 58 + 14

4x = 72

4x/4 = 72/4

X = 18

Hence the value of x is 18

Learn more on vertical angles here: https://brainly.com/question/1673457

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