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My name is Ann [436]
3 years ago
8

The figure shows two intersecting lines and measures of the resulting angles write an equation to help you solve for x , then fi

ne the value of x.

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

<u>Given</u>:

Given that two lines are intersecting at the point.

The angles (3x - 8)° and (2x + 12)° are the angles formed by the intersection of the two lines.

We need to determine the equation to solve for x and the value of x.

<u>Equation:</u>

The two angles (3x - 8)° and (2x + 12)° are vertically opposite. Hence, the vertically opposite angles are always equal.

Hence, we have;

3x-8=2x+12

Hence, the equation is 3x-8=2x+12

<u>Value of x:</u>

The value of x can be determined by solving the equation 3x-8=2x+12

Thus, we have;

3x-8=2x+12

Subtracting both sides of the equation by 2x, we get;

x-8=12

Adding both sides of the equation by 8, we get;

x=20

Thus, the value of x is 20.

Hence, the equation and the value of x are 3 x-8=2 x+12 \ and\  x=20

Thus, Option D is the correct answer.

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