The value of the variable x is 23
To determine the value of the variable, we need to take note of the following;
- Angles on a straight line equals 180 degrees
- Alternating angles are equal
- Corresponding angles both sum up to 90 degrees
- Supplementary angles both sum up to 180 degrees
Then, from the diagram shown, we have that;
6x + 42 = 180
collect the like terms, we get;
6x = 180 - 42
subtract the values
6x = 138
divide the values
x = 23