Find x and y on a parallelogram pleasee help

Question

Angle A is 4X Angle B 48 degrees

Answer 1

Parallelograms have two pairs of the same angles, so if angle B equals 48 degrees, the angle opposite that one also equals 48 degrees. All the angles in any quadrilateral sum to 360 degrees. So far, we know that the two opposite angles are 48 and 48, so we have 96 total, meaning the remaining two angles sum to 264 degrees (360 - 96). 264 divided by 2 is 132, so each of the other two angles are 132 degrees. If angle A = 132 = 4x, then x = 132/4 = 33.