Answer: x = 7
Step-by-step explanation: All the angles of a parallelogram add to 360°
Any two of the consecutive angles add to 180°
Using that information, we can create an equation with the angle measurements given:
(7x + 33) + (11x + 21) = 180 . Combine like terms:
7x + 11x + 33 + 21 =180
18x + 54 = 180 . Subtract 54 from both sides
18x = 126 Divide both sides by 18
x = 7