Question

Given segment AB parallel to segment DC, segment BC parallel to segment AD, and the measure of angle ABC = 120 degrees, find the measure of angle 1.

Answer 1

let the measure of angle 1 is x, therefore
x + 34 = 120
solve for x

Answer 2

OK that gives me 86
How do I solve for angle 2?
@RadEn

Answer 3

yeah, 86 is correct

to get the measure of angle 2, see the fact that
<ABC + < BCD = 180 (consecutive interior angles)
120 + <BCD = 180
obviously, we get <BCD = 120
now look at the diagram again, we knowed that
<BCD = 120 and for angle BCD exactly equals to 20 + angle 2
so, we get an equation :
20+ <2 = 60
subtract by 20 on both side, get
<2 = 60 - 20
<2 = 40 degrees