Parallelogram, opposite sides are equal
PART I:
AB = CD
5x + 2 = 8x - 7
-3x = -9
x = 3
AB = CD = 5(3) + 2 = 15 + 2 = 17
Answer:
x = 3
AB = CD = 17
PART II:
Supplementary angles, sum = 180
so <A + <D = 180
2y + 50 + 3y + 40 = 180
5y + 90 = 180
5y = 90
y = 18
Answer:
y = 18 degrees
If you need to find the measure of each angle then:
<A = <C = 2(18) + 50 = 36 + 50 = 86 degrees
<B = <D = 3(18) + 40 = 54 + 40 = 94 degrees