Answer:
137
Explanation:
VYXW is a parallelogram.
The opposite angles of a parallelogram are congruent, meaning their angle measurements are equal.
Following this information we can write an equation to find the value of x:
10x - 27 = 2x + 29 transfer like terms to the same side of the equation
10x - 2x = 29 + 27 add/subtract
8x = 56 divide both sides by 8
x = 7 replace x with 7 to find the given angle measures
now, the consecutive angles in a parallelogram are supplementary meaning their sum is equal to 180
m<V + m<W = 180
m<V + 2*7 + 29 = 180
m<V + 43 = 180 subtract 43 from both sides
m<V = 137