Answer:

Explanation:
First, we can solve for x using the fact that opposite interior angles of a parallelogram are congruent (and therefore their measures are equal).
m∠Y = m∠W
↓ plugging in the given values
10x - 27 = 2x + 29
↓ subtracting 2x from both sides
8x - 27 = 29
↓ adding 27 to both sides
8x = 29 + 27
↓ simplifying
8x = 56
↓ divide both sides by 8
x = 7
Now, we can find the m∠Y:
m∠Y = (10x - 27)°
m∠Y = 10(7)° - 27°
m∠Y = 70° - 27°
m∠Y = 42°
m∠W = m∠Y = 42°
Using m∠Y and m∠W, we can solve for m∠V and m∠X because we know that they are also congruent.


