The calculated value of x is 1 and the measure of m∠1 is 29 degrees
How to determine the value of x
From the question, we have the following parameters that can be used in our computation:
The figure
Also, we have that
m∠2 = 28x + 1
The segment vp is an angle bisector
This means that
2m∠2 = m∠XVW
Where
m∠XVW = 59x - 1
Substitute the known values into the equation
2(28x + 1) = 59x - 1
56x + 2 = 59x - 1
Collect the like terms
59x - 56x = 2 + 1
3x = 3
x = 1
Also, we have
m∠1 = m∠2 = 28x + 1
So, we have
m∠1 = 28(1) + 1
m∠1 = 29
Hence, the value of x is 1 and the measure of m∠1 is 29 degrees