Answer and Step-by-step explanation:
To find the value of u in the given diagram, we need to consider the fact that the sum of the interior angles of a convex polygon with n sides is given by the formula (n-2)*180 degrees.
In this case, we have a convex polygon with 5 sides, so n = 5.
Using the formula, we can find the sum of the interior angles:
Sum = (n-2)*180 = (5-2)*180 = 3*180 = 540 degrees
Next, we can subtract the known angles from the sum to find the value of u.
Given angles:
41 degrees
150 degrees
55 degrees
144 degrees
Total of known angles = 41 + 150 + 55 + 144 = 390 degrees
To find u, we subtract the total of known angles from the sum of the interior angles:
u = Sum - Total of known angles = 540 - 390 = 150 degrees
Therefore, the value of u is 150 degrees.