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ANSWER

12

EXPLANATION

Two expressions for the angles in terms of x are given,

The first one is (10x-20)°

The second one is (6x+8)°

The two angles are angles on a straight line.

The sum of angles on a straight line is 180°.

This implies that,

[tex](10x - 20) \degree + (6x + 8) \degree = 180 \degree[/tex]

Group similar terms,

[tex]10x + 6x= 180 + 20 - 8[/tex]

Combine like terms:

[tex]16x=192[/tex]

[tex]x = \frac{192}{16} = 12[/tex]

Therefore the value of x is 12

The value of x is 12°

Angle

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Given

The angles are (10x - 20)° and (6x + 8)°.

To find

The value of x.

How to find the value of x?

The angles are (10x - 20)° and (6x + 8)°.

We know that the sum of the angles of the line is 180°. then

(10x - 20)° + (6x + 8)° = 180°

Then simplify the equation, we have

10x - 20 + 6x + 8 = 180

              16x - 12 = 180

                     16x = 180 + 12

                     16x = 192

                         x = 12°

Thus, the value of x is 12°.

More about the angles link is given below.

https://brainly.com/question/15767203

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