The value of x is 43 degrees
To determine the value of the variable, we need to take note of the following;
- Supplementary angles are pair of angles that sum up to 180 degrees
- Complementary angles are pair of angles that sum up to 90 degrees
- Alternating angles are equal
- Corresponding angles are equal
- Angles on a straight line is 180 degrees
- Angle at right-angle is 90 degrees
From the diagram, we have that;
137 + y = 180
collect the like terms
y = 180 - 137
subtract the values
y = 43 degrees
But y and x are alternating
Thus, x = 43 degrees