Final answer:
The value of x is found by setting the equation x + 53 + 3x + 29 equal to 180 and solving for x, which results in the value of 24.5.
Step-by-step explanation:
To solve for x, we have two angles represented by expressions involving x. If angles MET and LET form a linear pair (meaning they are adjacent angles that sum to 180 degrees), then we can set up the following equation since the sum of the angles will be equal to 180 degrees:
x + 53 + 3x + 29 = 180
Combining like terms we have:
4x + 82 = 180
Subtracting 82 from both sides gives us:
4x = 98
Dividing both sides by 4:
x = 24.5
Therefore, the value of x is 24.5.