Respuesta :

Answer:

∠ Q = 115°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary, thus

57x + 1 + 31x + 3 = 180, that is

88x + 4 = 180 ( subtract 4 from both sides )

88x = 176 ( divide both sides by 88 )

x = 2

Thus

∠ Q = 57x + 1 = 57(2) + 1 = 114 + 1 = 115°