Question

A, O and B lie on a straight line segment.

Evaluate x

The diagram is not drawn to scale.

Answer 1

180 is the degrees a straight line segment is. This means that
4x + 3x + 2x = 180.
Since these all have the same variable (x), then you can add the coefficients. (4,3,2)
9x = 180
180/9 = x

X = 20

Answer 2

The value of x is 20°

Explanation:

Here, For a given Straight Line

We know that, The Straight angle is an angle equal to 180°

So,

4x + 3x + 2x = 180°

9x = 180°

Divide by 9 from both side

9x/9 = 180°/9

x = 20°

Thus, The value of x is 20°

FOR VERIFICATION ONLY:

4x + 3x + 2x = 180°

9x = 180°

95(20°) = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist